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quant-ph9509019.txt |@word peshkin:4 induces:1 magnetic:16 lack:1 primed:1 eds:2 go:1 follow:1 preserves:1 passage:1 charge:8 compensate:1 under:2 analogous:1 division:2 supported:1 shielding:3 very:1 frequencies:3 rise:1 wave:3 electron:1 every:1 affect:1 matrices:4 entire:1 gov:1 hamiltonian:7 notes:1 vector:6 small:1 smaller:1 slower:2 direct:1 sign:1 approximation:1 surrounding:3 zero:1 dynamics:2 canonical:2 even:1 trick:1 expressed:1 current:3 above:1 international:1 full:1 equals:1 here:3 free:1 address:1 path:2 along:1 equations:1 appears:1 sjz:1 shift:1 experience:1 action:1 proof:5 changes:1 useful:1 santa:1 discontinuous:1 requiring:1 apply:2 unit:1 coester:1 would:5 prove:1 contains:1 negative:1 properties:2 therefore:4 taken:1 more:1 conductor:28 acceptable:2 berlin:1 everywhere:1 foundations:2 cases:1 must:3 springer:1 valued:6 tokyo:1 shielded:1 equation:1 work:1 values:4 following:1 making:1 numbers:1 give:2 effectively:1 performed:1 lacks:1 verlag:1 creates:1 productive:1 carriers:1 rather:1 regions:1 pair:1 answer:2 symposium:1 valuedness:2 may:5 argonne:2 fe:1 date:1 sz:1 dynamical:2 whenever:1 light:1 eng:1 sj:3 so:2 order:6 shield:3 murray:1 experiments:4 through:3 experimentally:1 japan:1 its:2 before:1 thank:1 coordinates:2 better:1 absence:1 fig:6 might:2 into:3 surrounds:1 introduce:1 kamefuchi:1 effects:5 they:4 half:2 now:2 always:1 2e:2 fringes:1 each:2 individually:1 domain:4 nanometers:1 ej:2 mesoscopic:2 energy:2 society:1 measure:1 quantum:2 laboratory:1 beyond:1 eq:4 special:1 matrix:12 space:3 restricted:3 surrounded:1 interference:1 particles:11 multiply:4 lecture:1 induced:2 ref:1 interactions:1 discontinuity:1 diagonal:5 possibility:1 standard:1 shortest:1 pairs:3 interaction:5 retained:1 created:1 could:1 motion:1 length:3 circuit:1 strictly:1 xj:22 xn:7 symmetry:1 variables:2 done:1 fast:1 carry:2 ring:8 electronic:1 aharonov:5 size:2 given:1 similarly:1 eqs:1 system:1 least:1 1a:2 their:3 1b:2 statement:1 gives:1 relies:2 assumption:2 x2:1 eliminated:1 x1:7 than:2 jump:1 determines:1 second:2 limiting:1 matter:2 exhibit:3 function:3 anl:1 acknowledgment:1 unlikely:1 seen:1 any:5 lie:1 strength:1 angle:1 lim:1 speculative:1 instance:2 potential:6 take:1 finding:1 negligible:1 multiple:6 though:1 measures:1 react:1 most:1 connected:7 phase:3 measured:1 considered:1 sometimes:1 typeset:1 proceedings:2 yang:1 electrons:5 exp:2 nuclear:1 velocity:1 effect:16 typically:2 phenomenon:1 show:1 probe:1 gauge:12 subtle:1 removed:8 conduction:1 state:1 should:2 only:4 iej:2 black:3 oct:1 do:4 exceptional:2 beam:14 cannot:6 words:1 new:1 dr:1 adiabatically:1 fields:2 arxiv:1 circuits:3 approaching:1 respond:1 national:1 observed:1 sec:1 discussions:1 close:1 fails:2 scattering:1 away:1 enough:1 between:3 invariant:1 shields:2 restricting:2 however:3 vanishing:2 cut:1 key:1 both:2 region:2 contract:1 quantization:1 figures:1 disappears:1 schroedinger:1 albeit:1 cm:1 point:1 simply:4 exhibits:1 raise:1 addition:1 due:1 been:5 quickly:1 workshop:1 azimuthal:1 expected:1 ph:1 define:2 observable:1 coherent:1 external:8 spin:1 those:5 case:1 encircles:1 microns:1 pacs:1 will:1 situation:1 property:1 unitary:1 played:1 vol:1 superconducting:5 il:1 vanish:1 technology:1 currents:3 perhaps:1 same:2 wherein:1 quant:1 split:3 physical:2 singapore:1 upon:1 mutual:1 odlro:6 conductors:3 numbered:1 lower:1 shaded:2 off:5 center:1 encircle:1 nevertheless:1 analysis:1 bohm:5 coordinate:1 quantitative:1 usual:1 less:1 using:2 momenta:1 macroscopic:5 speculate:1 density:14 except:2 transformation:9 momentum:1 around:2 rev:2 possible:1 know:1 integer:1 mod:1 meaning:1 imposed:1 semi:1 particle:10 unnecessary:1 specific:1 flux:13 integrals:1 become:2 spins:1 accessible:1 because:10 truncated:1 some:2 back:1 proportionally:1 intact:2 scale:1 describing:1 charges:3 shall:1 integration:1 does:5 assuming:1 obey:5 equivalent:1 tonomura:1 revtex:1 although:1 hilbert:1 bz:1 transformations:1 conducting:1 world:1 chance:1 nonvanishing:1 range:5 obeys:3 act:1 mathematical:1 raised:1 own:2 presence:1 image:2 within:4 nothing:1 references:1 operator:2 statistics:1 assumed:1 suffice:1 there:4 question:1 long:4 width:1 quadratic:1 way:3 scientific:1 was:1 hz:1 form:1 removes:1 but:2 somehow:1 volume:1 pj:3 hc:2 line:2 ha:2 true:1 made:3 whether:1 inside:1 limit:1 uh:1 problem:3 mechanics:2 ab:11 proved:1 defined:1 abstract:1 metals:1 general:3 single:3 exist:4 curl:1 moves:1 distributions:1 goldhaber:3 again:1 functions:2 no:8 whereas:1 when:2 vanishes:3 field:11 other:4 normal:7 department:1 elements:3 ξj:3 ξn:11 dimensions:1 implies:1 coupling:1 physics:3 rescued:1 diffraction:2 equivalently:1 plasmon:1 time:1 nuclei:2 once:1
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quant-ph9509020.txt |@word represent:1 concept:2 proposed:1 september:1 supported:1 osi:1 instructive:1 muriel:4 hungary:1 alternative:1 eigenstates:1 rmki:1 lc:1 enough:1 should:1 presents:1 offers:1 lett:2 mail:1 main:1 eigenstate:1 momentum:1 do:1 tests:1 his:1 consequently:2 di:1 dependent:2 assuming:1 db:1 expectation:2 wave:7 discuss:1 projects:1 budapest:1 particle:6 hamiltonian:1 conditions:1 arxiv:1 solution:2 common:1 each:1 found:1 reduced:14 set:1 methods:1 sep:1 conditional:2 understood:1 zero:1 quantum:1 simultaneously:1 dynamics:10 accompanying:2 concern:1 provided:1 giving:1 nuclear:1 dr3:1 dr2:1 rev:2 research:1 particles:1 written:1 does:1 above:1 kfki:2 rn:2 ref:1 body:9 recently:1 state:1 however:1 here:1 standard:2 restrictive:1 diosi:1 lajos:1 observable:1 r1:12 r2:2 institute:1 commonly:1 drn:1 argue:1 onto:1 comment:1 relevant:2 projection:2 predictions:2 except:1 hermitian:1 grants:1 references:1 pob:1 would:1 capable:2 zeromomentum:1 contains:1 question:1 system:2 ψn:5 way:1 ph:2 was:1 theoretical:2 more:1 function:7 formally:1 form:3 offer:1 becomes:1 company:1 subspace:1 odinger:2 hu:1 ith:1 true:1 proposal:1 unfortunately:1 pacs:1 whether:1 equation:2 work:1 likely:1 value:1 while:1 values:1 ωn:1 distinguished:4 detailed:1 predict:2 abstract:1 thus:1 reads:1 numbers:1 further:1 claimed:1 archive:1 information:1 issue:1 goal:1 no:1 other:2 quant:2 calculating:1 serve:1 derived:1 a1:3 letter:6 extremely:1 numerous:1 otka:1 schr:2 calls:1 restricted:1 implications:1 physics:1 obviously:1 dr1:3 without:1 exp:1 time:2 observables:1 starting:1 bodies:3 usual:1
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quant-ph9510001.txt |@word consider:10 caused:1 lack:1 results:2 leads:2 eds:2 mild:1 spiridonov:1 grateful:1 c0:21 celeghini:1 created:1 squeezing:1 th:1 under:2 thorne:1 presentation:1 case:21 straightforward:1 zhang:1 very:2 mn1:4 rise:1 exception:1 zachos:2 wave:1 drever:1 nieto:6 condition:1 annihilated:2 hussin:1 immediately:1 hamiltonian:1 bn:1 correct:1 leave:1 solved:1 science:2 small:1 eigenvalues:1 optics:4 challenge:1 degeneracy:1 enjoy:1 zn:2 zk:1 oscillator:17 consistent:1 cosh:1 zero:1 chen:1 dynamics:1 theory:1 sun:1 sum:1 expressed:2 fortschritte:1 above:5 expresses:1 method:2 satisfy:2 respectively:1 realizations:1 component:2 here:4 understanding:1 china:2 groups:1 xα:1 equations:1 transformation:2 obtained:9 remark:1 institute:3 study:1 studied:2 resulting:1 published:1 usually:1 der:1 useful:1 malkin:1 apply:1 use:5 asymptotic:2 would:4 positive:1 contains:1 negative:2 next:2 a52:1 call:1 therefore:2 theoretical:3 more:3 fu1:1 formally:2 comparison:1 operators:10 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quant-ph9510012.txt |@word represent:1 sci:1 consider:5 lack:1 results:1 leads:2 scalar:7 ga:1 hyperboloid:2 expressions:3 reasoning:1 whose:1 dimensionality:2 depend:1 under:1 γc:1 γb:1 γa:3 friendly:1 norm:6 ta:3 belonging:1 tb2:1 g0:1 very:2 implicitly:1 choice:3 bjorken:1 difference:1 matrices:4 condition:1 presented:2 proc:1 t0:1 vector:5 manifestly:6 warszawa:1 optics:1 der:3 dealing:2 lubanski:3 imply:2 further:1 find:1 current:1 version:1 above:1 equivalent:2 satisfy:3 degree:1 fields:2 objects:1 possibility:1 address:1 σab:2 σaa:1 equations:7 institute:1 vectors:1 eigenequation:1 products:5 published:1 hospitality:1 fourier:6 involves:1 useful:2 vii:1 plenum:1 use:2 would:2 prove:2 covariant:7 positive:1 negative:1 bases:1 therefore:4 m2:2 ψb:3 ψc:2 ψa:7 type:4 sort:1 introducing:2 becomes:1 factor:2 appendix:2 normalized:1 particular:4 known:3 iii:1 analogous:2 rβ:2 equation:8 work:2 theories:1 following:1 example:1 proof:3 abcd:1 relativistic:3 taa:2 tan:3 david:1 tak:2 respective:1 technology:1 means:1 write:1 how:1 2gab:4 acta:1 simplicity:1 product:4 ta1:6 may:1 derived:1 applications:1 cambridge:2 representations:7 wave:3 types:1 waerden:3 purely:1 explicit:2 element:1 lhs:1 partly:1 sl:1 definitions:1 restriction:1 wigner:18 help:2 developed:1 paper:2 differs:3 satisfies:3 its:2 boosts:2 group:4 thank:1 φa:1 interesting:1 pritchard:1 writing:1 forms:1 φc:1 choose:1 matematyki:1 pergamon:1 hidden:1 main:1 lowell:1 them:2 integral:1 oxford:1 now:3 possess:1 dirac:7 fizyki:1 undertaking:1 university:3 level:1 identified:2 lorenz:2 2g:1 2m:2 2n:8 2i:5 spinor:24 square:1 ei:2 directly:1 arbitrariness:1 energy:2 related:3 manifests:1 unprimed:1 frequency:1 measure:3 quantum:3 eq:1 sunrise:1 shown:4 matrix:8 space:2 rev:1 hill:1 formula:3 induced:3 math:1 shows:3 marek:1 theory:2 associate:1 free:1 standard:3 indices:4 definition:1 pairs:1 language:1 transition:1 times:1 massive:4 first:3 simplifies:1 xa:8 powerful:1 xx:2 xy:14 done:1 another:1 electronic:1 given:3 similarly:1 introduction:1 1a:3 their:3 convention:1 tool:1 proving:1 part:1 x0:4 sign:3 representing:1 determines:1 penrose:3 integrability:1 amplitude:4 were:1 powers:3 rewrite:1 electrodynamics:2 manner:1 any:2 rochester:1 εx:7 barut:1 efficient:1 potential:2 generalized:1 objective:1 so:1 εa:9 εb:2 formulas:1 begin:1 trace:3 shall:1 rhs:2 birkh:1 simplify:1 representation:10 pair:1 acknowledgements:1 cc:2 especially:2 noncovariant:1 normally:1 fact:4 supported:1 implying:2 spaces:1 gauge:2 d3:12 dividing:1 written:2 only:4 explicitly:2 generators:6 indeed:1 oct:1 hope:1 notation:1 get:3 dependent:1 between:2 reversal:3 qr:9 textbooks:1 fields:6 arxiv:1 bay:3 qa:2 minkowski:1 set:1 exists:1 frame:1 j0:1 see:3 λbn:1 terms:1 contour:1 subject:1 satisfying:1 tensor:5 fulbright:1 symmetric:1 behind:1 difficulties:1 various:1 wavelet:3 simplest:1 invariant:9 publishers:1 recently:1 twistor:2 λb1:1 however:1 tensors:5 raczka:1 both:2 σb:4 σa:7 equal:1 contract:1 bispinor:2 etc:2 0a:3 context:2 gerald:1 expression:2 mechanics:1 cn:2 reasons:1 cb:1 ca:1 cf:4 cd:2 proved:1 actually:1 drell:1 pseudoscalar:1 kernels:1 pq:1 described:1 addition:1 py:1 ja:2 pb:12 pc:1 pa:12 pg:1 pd:1 boston:1 ph:1 pl:1 define:2 corresponding:1 coherence:1 photon:1 gap:1 c1:2 spin:5 gab:1 those:1 case:7 tann:2 p0:20 nska:1 will:2 polon:1 guide:1 unitary:1 vol:2 ip:5 iv:1 ii:1 itself:2 dual:1 bargmann:14 0b:1 different:1 grant:1 pay:1 make:1 poincar:4 paa:1 pab:2 complex:1 quant:1 pauli:4 several:1 higher:1 independent:2 used:6 singapore:1 qβ:2 auser:1 potentials:5 invariance:5 tc1:1 totally:1 identity:3 task:1 poland:1 well:1 analysis:1 2ga:1 without:1 components:2 arising:1 usual:1 being:1 rindler:3 obtain:1 rest:1 infeld:3 gda:3 instructive:1 transforms:1 immediately:1 polish:1 alternative:1 5x:1 generator:1 simple:1 conjugated:1 iσ:3 transformation:2 momentum:2 take:1 showing:1 corresponds:3 helicity:2 appendices:1 press:3 using:1 unified:1 like:1 appearing:3 dµm:3 follows:6 reduces:1 performing:1 manifest:1 arbitrary:2 mcgraw:1 because:2 methods:5 some:3 play:1 b1:18 respect:1 td2:1 gross:1 kaiser:2 lead:2 electromagnetic:4 opposite:1 does:1 decomposition:1 prof:2 closely:1 ba:4 bb:2 bc:1 bn:18 bk:10 εab:1 bx:1 hilbert:1 usa:1 world:3 freedom:2 wavelets:1 o:1 carries:2 stand:1 introduced:1 slightly:1 2iσ:2 gamma:3 nsk:1 presence:1 maxwell:2 into:1 rotations:2 acad:1 spinors:2 birula:6 van:3 additional:2 support:1 there:4 transform:2 hertz:3 bialynicki:4 way:2 was:2 function:1 form:16 denoting:1 but:1 construction:1 subsidiary:1 bialynicka:2 applying:2 versions:1 characteristic:1 up:1 us:2 ul:1 below:1 called:1 aa:19 ac:2 ab:36 constant:1 defined:5 czachor:1 ak:17 general:2 ar:9 formulation:2 ay:3 ax:8 formalism:2 fill:1 qα:4 functions:1 compared:1 generally:1 field:20 other:1 role:1 nat:1 ohnuki:1 massless:6 repeat:1 time:2 helpful:1 a1:60 important:1 massachusetts:2 additionally:1 ξa:6 ξb:3 ξc:2 implies:2 typically:1 scientific:2 mass:3 resembles:1
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quant-ph9510013.txt |@word represent:1 monte:2 consider:2 interference:1 illustrated:2 quadrature:1 consists:1 whose:1 paris:4 subjected:1 tr:1 squeezing:8 stable:3 worth:1 orthogonal:1 very:1 impinged:1 fall:1 difference:3 minute:1 splitter:1 presented:3 sin2:2 claudio:1 outcomes:6 zero:2 enhancement:1 carlo:2 even:1 index:1 apparatus:3 expressed:1 experiment:1 above:1 full:1 here:1 behaviour:1 reported:1 cos2:1 address:1 represented:2 path:3 along:1 change:2 obtained:4 shift:12 renzi:1 resulting:5 action:2 hospitality:1 involves:1 via:1 useful:1 scales:2 marginal:3 highly:2 plots:1 total:1 use:1 would:1 intense:3 depicted:1 examination:1 therefore:1 taken:1 introducing:1 optimizing:1 becomes:1 under:6 problem:1 instrumental:1 correspondingly:2 particular:1 given:3 high:3 account:1 ρe:1 oscillator:8 burnett:1 making:1 example:1 figure:5 photocurrent:2 states:5 numbers:1 sharp:1 counting:1 information:1 monitoring:1 e2r:1 turn:1 xˆ:1 feature:1 how:1 parameter:6 ζa:2 after:2 plane:5 waves:1 improving:2 outline:2 light:2 switch:1 order:2 bins:1 wigner:4 over:2 years:1 paper:1 through:1 fwhm:1 its:1 monitor:1 trieste:2 chosen:1 lo:1 exhibits:1 detected:1 fig:5 pavia:2 mail:1 non:1 good:1 than:2 outlined:1 noticing:1 they:1 half:2 easily:1 2r:1 mccall:1 fringes:1 mode:1 each:4 macchiavello:1 mean:1 schemes:1 independent:1 energy:2 displacement:1 measurement:1 quantum:1 eq:4 event:2 shown:1 crucial:1 acting:1 istituto:1 formula:1 induced:1 integrated:2 sinh2:1 fisica:1 possibility:1 approaches:1 detecting:1 bassi:1 caption:1 first:1 informations:1 already:1 probability:7 shapiro:1 valentina:1 number:5 utilized:3 angular:1 little:1 publication:1 their:1 leading:3 indicate:1 scheme:8 shifted:3 environmental:1 optical:3 yurke:1 reverses:1 holland:1 matteo:1 namely:1 a47:1 amplitude:4 iˆ:1 generality:1 fluctuation:1 modern:1 manuscript:1 seem:1 any:1 angle:1 extracted:1 without:1 detector:4 induces:1 multiple:3 occurred:3 pair:1 especially:1 considered:2 broadened:1 inferred:1 points:3 exp:1 ρdρ:1 physics:2 fact:2 shot:2 show:1 nφ:1 disturbs:1 individuated:1 d2:1 decade:1 based:3 dividing:1 distributed:1 assertion:1 peculiar:1 only:1 local:8 oct:1 di:2 de:1 beam:3 words:1 report:1 evolution:3 dpt:1 fields:2 arxiv:1 tuned:1 twice:1 fixed:2 enhances:1 reference:1 achieved:1 sensitivity:8 detection:9 intensity:1 radius:2 phases:1 rigidly:3 αa:2 state:8 smallest:1 between:4 invariant:1 reading:1 a40:1 initially:2 however:1 configuration:2 alters:1 thank:2 suggested:1 both:1 last:1 many:1 according:1 sensitive:3 figures:1 refraction:1 whole:2 experimental:4 minima:1 point:1 corresponds:2 height:3 moreover:1 throughout:1 schleich:1 pv:1 leads:1 been:4 expected:1 ph:1 differently:1 ariano:2 direction:2 sufficient:1 photon:1 precision:1 coherent:1 decreased:1 present:1 case:1 laser:2 value:2 squeezed:25 situation:1 property:1 procedure:2 della:1 iy:3 resolved:1 vogel:1 thus:1 encouragement:1 equal:4 couples:1 cluster:1 itself:4 im:1 gianni:1 different:2 italy:1 april:1 generic:2 suggest:1 radiation:3 same:1 shifts:1 complex:4 quant:1 widely:1 proved:1 evolve:1 investigated:1 peaks:4 see:1 counterparts:1 changing:1 recent:1 task:1 modes:1 largely:1 minimize:1 bifurcation:2 possesses:1 being:1 generally:1 accurate:2 obtain:1 λa:1 klauder:1 monitored:2 photons:4 iϕ:1 improvement:1 lett:3 input:13 excited:1 iφ:1 bin:1 rescaled:1 increased:1 depends:2 evaluate:1 couple:1 possible:1 homodyne:7 increases:1 vacuum:21 accepted:1 mod:1 loss:2 necessary:1 lost:1 signal:11 translates:3 sezione:1 output:2 stationary:1 classical:2 pϕ:2 some:3 b6:1 respect:3 happens:1 lead:1 electromagnetic:1 measurements:4 provides:1 beating:1 noise:2 eiϕ:1 continuing:1 pressure:1 described:1 prepared:1 properties:3 comparison:1 simulation:2 mixed:1 rev:5 letters:1 presence:1 into:4 h1:1 phase:37 references:1 operator:3 deal:1 support:1 width:1 vax:1 interferometry:2 function:4 medium:1 but:1 histogram:1 infn:1 gravitational:1 variations:1 maximum:2 placed:1 limit:2 fluctuations:5 distribution:19 a201:1 ab:1 ae:1 int:1 abstract:1 deep:1 general:1 nazionale:1 accounting:1 check:1 materia:1 whereas:1 when:2 field:8 other:2 conclusion:1 polar:1 nonclassical:2 interferometric:7 required:1 rule:1 broad:1 once:1
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quant-ph9510014.txt |@word represent:6 childs:1 consider:2 limited:1 comparatively:1 results:4 chiao:1 leads:2 quadrature:1 generalize:1 fig1:1 go:1 expressions:1 whose:1 inverse:1 paris:1 tr:9 send:2 containing:1 supported:1 finally:1 efficiencies:1 under:1 analogous:1 fax:4 kπ:1 straightforward:2 orthogonal:2 2re:1 quadruplet:1 lynch:1 experimentally:8 difference:1 condition:1 splitter:4 smithey:1 presented:2 list:1 applicable:1 solved:1 vector:1 demonstrated:1 harry:1 refer:1 optics:3 setup:2 employing:2 requirements:1 second:3 qmn:2 further:3 odd:1 port:2 linear:2 will:2 ˆr:1 errors:3 stands:1 section:3 analogously:1 expressed:2 ˆa:1 experiment:1 subspaces:1 overcomplete:1 new:1 paviˇci:1 method:5 contrast:1 coefficient:1 photoelectron:1 lee:2 nb2:1 here:2 desired:1 alone:2 consideration:1 along:1 equations:1 obtained:3 vectors:1 allows:2 implement:1 suitable:1 changes:1 involves:1 transmittance:1 via:4 projection:10 extra:1 herzog:1 kilin:1 stern:1 counts:1 planck:2 linearly:1 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quant-ph9510015.txt |@word concept:1 partial:8 consider:4 orthocomplementation:1 splitting:1 eds:1 mccarthy:1 whose:1 graph:6 finally:1 petersburg:3 include:1 finkelstein:2 activation:1 rise:1 straße:1 results:1 print:2 electron:2 sons:1 emphasized:1 partitions:5 entire:2 randomness:1 unlike:1 applicable:2 deals:1 inspection:1 dealing:1 uef:1 measurable:2 second:5 perspective:1 concludes:1 rigorous:1 further:1 machines:2 even:1 stands:2 giving:1 section:6 experiment:4 above:3 international:2 simultaneously:2 measurements:2 respectively:1 realizations:1 here:1 groups:1 directions:1 observing:1 change:1 simulating:1 box:1 orthomodular:1 study:1 studied:1 completely:1 resulting:5 disposal:1 automaton:34 changes:1 brauer:1 namely:2 logical:2 austria:1 boolean:2 analyzing:1 apply:2 univ:1 conventional:1 takes:1 helvetica:1 haupt:1 automata:32 examination:1 therefore:3 taken:1 type:1 theoretical:3 more:4 normalized:4 particular:5 known:1 valued:1 values:8 following:5 example:9 compare:1 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quant-ph9510017.txt |@word neighbors:1 represent:1 searle:2 concept:1 sci:1 consider:1 global:1 alternatives:2 results:1 existing:1 correo:1 synapses:4 contributions:4 localized:2 row:1 simon:1 depend:1 referring:1 deterministic:1 interact:1 interactions:1 under:1 ingredient:1 far:1 springer:2 induce:1 wave:7 medicine:1 every:3 govern:1 affect:1 difference:2 illustrated:1 presented:5 stimulus:2 solution:1 discrete:1 configurations:2 says:1 pulse:2 sign:3 second:2 dualistic:1 dynamics:1 functioning:3 established:2 what:5 citations:1 selected:1 contributed:1 brief:1 cell:1 experiment:1 establishes:2 scientists:1 new:3 body:1 full:1 simultaneously:1 exchange:2 ısica:1 men:1 component:1 here:2 understanding:9 them:1 possibility:2 relaxation:1 represented:1 ratio:1 along:1 fifteen:1 change:2 obtained:1 search:1 soul:1 rests:1 study:2 studied:2 allows:1 reason:1 experience:1 excursion:1 suggests:1 amount:2 action:2 changes:1 involves:1 adjustable:1 spatially:1 although:1 explained:2 wij:2 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quant-ph9510018.txt |@word logarithms:3 consider:2 results:1 four:1 commute:3 grateful:1 row:3 whose:1 depend:1 johansen:1 finally:1 those:1 me:1 orthogonal:1 choice:1 80th:1 matrices:1 entire:1 obvious:1 fewer:1 eigenvalues:12 abbreviated:1 smaller:2 sign:2 second:1 specker:11 odd:5 even:6 what:1 trivial:1 sum:14 find:2 version:2 above:3 values:2 satisfy:1 respectively:2 answers:6 reported:1 others:1 appears:2 obtained:1 convert:1 institute:1 involved:1 vectors:4 contradiction:8 involves:1 projection:17 extra:1 requiring:1 merely:1 outcomes:1 contradictions:2 hindsight:1 unit:4 additive:2 would:3 positive:2 call:1 therefore:2 themselves:1 introducing:1 israel:2 becomes:1 operators:27 ascribe:1 tested:1 particular:4 known:4 cases:1 hold:1 must:3 logarithm:4 none:2 valued:1 work:1 nine:7 concepts:1 example:3 proof:3 dedicated:1 weaker:1 attribute:1 performed:2 holds:1 how:1 pure:1 instead:1 ordinary:1 product:4 may:6 max:1 after:1 variant:1 birthday:1 ambiguous:1 attempt:1 third:3 explicit:1 their:5 σ1x:10 so:2 fundamental:1 gerard:1 six:1 numbers:2 over:1 symbols:1 mentioned:1 p1z:3 still:1 its:4 before:1 chosen:1 systems:1 redhead:1 quant:1 hidden:1 them:1 incompleteness:1 they:3 oxford:1 now:4 teller:2 easily:1 asher:1 each:10 found:3 2n:2 side:3 realism:1 subset:2 formulate:1 σ2z:10 σ2x:5 σ2y:3 impossible:1 quantum:10 our:3 eq:1 shown:1 matrix:5 space:5 restricted:1 since:2 rev:2 research:1 particles:1 surprise:1 ref:1 math:3 complicates:1 theory:2 diagonal:1 r4:1 r3:1 could:1 r8:1 produce:1 first:6 placing:1 variables:1 number:8 hurdle:1 reached:1 array:7 illustrate:1 given:3 needed:2 eqs:4 πi:3 system:6 attach:1 brevity:1 hypothetical:2 1l:6 gives:1 relationship:1 representing:2 require:1 see:1 preparation:1 were:2 minus:2 argument:1 seem:1 any:2 conversion:1 form:1 mermin:3 latter:1 overcoming:1 take:2 unless:2 asserts:1 shall:1 who:1 clearer:1 singlet:5 algebraic:1 involving:2 multiply:1 measured:1 technion:1 dordrecht:1 professor:1 later:1 parenthesis:1 occasion:1 physics:1 fact:1 show:1 supported:1 discovered:1 fine:2 agrees:1 dividing:2 state:12 only:8 factor:1 oct:1 columns:1 σ1j:1 his:1 means:2 simplest:1 σ1z:5 σ1y:3 cannot:2 gen:2 arxiv:1 yield:1 rotationally:1 twice:2 bad:1 kochen:12 requirement:2 set:2 modulo:1 unpublished:1 p1x:5 namely:2 result:2 nonlocality:1 nondegenerate:1 definite:2 written:1 between:1 incompatibility:1 invariant:1 triplet:1 terms:2 importance:1 however:4 article:1 p2x:3 p2z:5 parentheses:1 taking:1 equal:1 fulfilled:1 σz:8 σy:4 σx:8 adapted:1 jammer:1 simple:1 dimensional:5 moreover:1 patiently:1 basis:2 three:3 been:3 expected:1 ph:1 corresponding:3 sufficient:1 fund:2 spin:1 present:1 case:2 subsets:1 value:1 transformation:1 will:1 while:1 replaced:1 irrespective:2 property:1 thus:5 encouragement:1 itself:1 vanish:1 technology:1 swope:1 verified:1 same:3 epistemological:1 arguments:1 pauli:1 finite:1 used:1 l175:1 numerical:2 hand:11 noncontextual:1 mech:1 locality:1 well:1 thought:1 theses:1 sets:1 left:6 just:3 being:2 obtain:4 questions:4 yes:7 kluwer:1 had:2 except:1 valid:1 lett:1 theorem:7 eigenstate:1 ought:2 generalized:2 real:1 tests:2 rules:4 sums:2 possible:4 press:1 using:1 mod:2 imposed:1 follows:1 discarded:1 multiplicative:3 become:1 parity:2 right:4 methods:1 some:3 back:1 examples:2 specific:2 dimensions:2 lead:2 measurements:2 does:1 obey:1 equivalent:1 clarendon:1 hilbert:2 about:3 column:6 compatible:2 mutually:1 letters:2 conway:1 into:2 clifton:1 pair:1 hermitian:1 because:1 operator:10 rows:1 probabilistic:1 there:4 transform:2 strict:1 way:4 was:7 function:1 notations:1 sequel:1 but:1 construction:1 haifa:1 count:1 2πi:3 up:4 us:1 converted:1 similar:1 mechanics:2 proved:1 defined:1 abstract:1 measurement:2 am:3 general:1 peres:8 σ2j:1 exist:1 commuting:2 physical:4 again:2 no:6 other:2 department:1 conclusion:1 explaining:1 elements:1 wrongly:1 provided:1 mechanical:1 prepared:2 meaning:3 sides:6 rule:1 original:4 observables:1 having:1
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quant-ph9510019.txt |@word represent:1 concept:6 partial:2 springer:1 lack:1 ders:1 results:7 produce:2 leads:1 scalar:2 systemic:1 controversial:1 follow:2 reheated:1 reasoning:1 issues:1 restrictions:1 whose:2 compose:1 pˆi:7 bosque:1 pˆk:1 pˆj:4 contained:1 ıa:2 charge:3 uniquely:1 device:1 those:3 th:4 under:4 ontological:4 worth:1 pˆ:3 p2:1 amplitudes:1 eip:1 far:1 role:2 conditions:1 wave:3 stat:1 corollary:1 every:4 fall:1 p6:1 difference:1 matrices:1 paz:2 school:1 t8:1 presented:2 interpretations:3 t4:2 eiv:2 t2:5 t3:2 t1:7 pˆ1:1 discrete:2 vector:4 elsewhere:3 eigenvalues:4 probably:1 recourse:1 p9:1 villa:1 consistent:7 d6:1 imply:4 dordrecht:4 copenhagen:2 odd:1 elisa:1 belief:1 even:1 will:6 what:2 clauser:2 ˆt:5 apparatus:2 trivial:1 section:9 interactions:1 favour:1 shares:1 d3:1 brief:2 experiment:5 above:3 relational:4 ˆk:1 satisfy:1 simultaneously:2 editorial:1 mec:1 mr:1 component:6 here:11 diagonal:1 behaviour:1 lu:1 objects:3 focused:1 galilean:1 separation:1 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quant-ph9510023.txt |@word circumference:1 consider:1 squared:1 iib:1 dynamic:1 focus:1 perelman:1 zoller:2 leads:1 known:2 commute:1 fig2:4 computation:1 fig1:3 consists:1 follow:3 expressions:2 localized:14 scr:1 replacements:1 depend:5 calculate:3 integral:1 effort:1 presents:3 finally:1 squeezing:3 those:2 under:2 analogous:1 include:3 alber:2 brown:1 supported:1 t12:1 advantage:2 orthogonal:1 far:1 stroud:5 distort:1 results:1 electron:1 rotational:2 nieto:4 exact:3 condition:3 four:1 presented:2 ref:5 permits:1 solution:12 travels:1 strayer:1 min:3 small:1 eigenvalues:2 der:1 png:14 neighborhood:1 oscillation:1 core:1 pulse:5 sign:1 elegant:1 second:3 plenum:1 evaluated:1 insertion:1 further:2 odd:3 imposing:1 required:1 even:2 what:1 rate:1 complexities:1 section:9 http:7 near:3 current:2 poles:2 causes:1 above:1 fractional:1 replaced:3 increasing:1 consisting:3 satisfy:2 evolving:1 full:5 simultaneously:2 behavior:1 respectively:3 l1:2 component:2 here:3 atoms:9 desired:1 l23:7 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quant-ph9510025.txt |@word concept:1 consider:8 caused:1 magnetic:2 roc:3 results:6 illustrated:1 scalar:2 follow:1 expressions:1 faster:1 contributions:13 referring:1 concerned:1 tu:1 γv:1 finally:2 under:1 worth:1 divergent:1 division:1 straightforward:1 evolves:1 very:2 rise:3 connects:1 unchen:2 electron:2 summarized:1 application:2 experimentally:1 difference:1 fakult:1 condition:1 leads:3 disturb:1 level:31 did:1 evaluation:2 solution:3 integrated:1 vector:2 perceives:1 small:1 3b:13 optics:1 inertial:28 upper:2 met:1 occurrence:1 deutsch:1 sin2:3 measurable:1 ωab:26 konstanz:4 evaluated:3 qualitatively:1 linear:4 even:1 aim:1 appear:1 brackets:2 trivial:1 sum:1 expressed:2 uniform:6 inert:6 poles:1 above:4 susceptibility:2 new:2 principal:2 divergence:2 never:1 spacing:1 here:2 atoms:16 behaviour:1 iωτ:1 separation:1 address:1 alone:1 path:1 along:4 sine:2 equations:3 appears:1 change:7 calculate:3 obtained:1 property:1 numerator:1 splitting:1 shift:46 study:2 changed:2 allows:3 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quant-ph9510026.txt |@word consider:1 results:1 existing:1 leads:1 ge:3 entropy:6 follow:2 causes:1 particles:1 inverse:1 environment:1 those:2 belonging:1 very:1 wave:4 every:1 mixing:1 difference:6 condition:1 presented:1 solution:1 t0:1 small:2 degeneracy:1 approximation:2 zero:18 dynamics:1 canonical:9 will:2 what:3 expressed:1 above:2 values:4 principal:1 evolving:2 full:1 never:1 spacing:2 here:1 relaxation:2 equations:2 change:2 ukraine:4 institute:2 vectors:1 experience:1 accomplished:1 resulting:1 family:1 highly:1 coinciding:1 total:1 use:1 would:2 probabilities:2 therefore:3 means:4 theoretical:1 ψe:11 odinger:1 reversible:1 known:1 hold:1 iii:1 vladimir:1 equation:4 obvious:1 following:2 proof:1 process:31 accept:1 states:4 degenerate:1 sense:2 occur:1 end:1 holds:1 how:2 pure:3 answer:1 parameter:1 may:2 thermodynamic:4 law:1 stress:1 dynamical:1 whenever:1 so:5 order:3 breaking:1 diagonalizes:1 indeed:2 over:1 paper:1 statistical:3 mentioned:1 existence:1 still:1 its:4 before:1 chosen:2 fruitful:1 absence:2 degrees:1 systems:4 main:1 eventually:1 good:1 thereby:2 evolution:2 primary:1 framework:1 name:1 always:1 hamiltonian:4 each:4 crossing:4 accompanied:1 repeating:1 characterized:2 mean:4 mesoscopic:7 energy:13 manifests:1 quantum:5 our:1 eq:1 special:1 shown:1 kiev:2 quasicontinuous:1 furthermore:1 since:1 rev:1 increase:5 occurs:2 shows:1 theory:2 differ:1 standard:2 completely:1 besides:1 estimate:1 definition:1 interaction:2 retained:1 derivation:1 place:1 hence:1 first:1 there:7 probability:6 number:1 another:1 size:1 given:2 temperature:2 crossings:1 system:24 needed:1 dwell:1 postulate:4 speaking:1 academy:2 explanation:1 than:1 second:1 matter:1 quasistatic:1 treated:1 spectrum:1 manner:1 seen:1 any:3 latter:1 isolated:1 mechanism:1 sciences:2 take:1 coincide:3 investigations:1 most:2 involving:1 nothing:1 forever:1 points:1 principle:2 mechanical:1 velocity:1 usual:1 physics:2 fact:1 particularly:1 show:1 random:2 find:3 ground:1 slow:1 parameters:1 irreversible:3 state:12 should:2 only:4 oct:1 awareness:1 equilibrium:7 get:2 cannot:1 words:1 despite:1 ds:1 adiabatically:1 processes:9 conditions:1 arxiv:1 common:1 fixed:2 view:1 ignored:1 constructing:1 national:2 relative:1 differs:1 namely:2 result:1 capacity:4 speed:1 definite:1 written:1 between:4 subscript:1 approach:1 ends:1 terms:1 nature:1 importance:1 however:4 fluctuations:4 distribution:18 observable:1 essentially:1 tangible:1 equal:2 fulfilled:1 energies:1 manifestations:1 context:1 asked:1 comes:2 relevant:2 point:5 ca:4 applicability:1 considering:1 described:1 basis:5 due:4 much:1 ph:1 corresponding:5 coherence:2 subspace:1 external:2 present:1 case:3 lesser:1 situation:1 property:1 procedure:1 larger:1 thus:3 ii:1 itself:3 rid:1 different:4 same:2 complex:1 quant:1 gibbs:1 independent:1 hand:3 moment:2 levels:2 changing:1 eigenvectors:2 schr:1 nevertheless:1 no:4 well:3 solve:1 experimental:1 sets:1 left:2 being:6 when:2 underlying:1 macroscopic:4 density:3 thermodynamics:1 other:4 treatment:1 theorem:2 eigenstate:2 depends:1 demands:1 necessary:1 adiabatic:27 microcanonical:9 δq:3 specific:1 arbitrary:2 become:1 stationary:1 essential:3 because:2 classical:2 happens:2 provided:1 ukrainian:1 does:1 tends:1 stefan:1 broken:1 refers:1 freedom:1 remains:1 obeys:2 equalize:1 act:1 mixed:1 consequently:1 thermostat:8 into:5 within:1 references:1 initial:4 question:1 specifically:1 strict:1 accordingly:1 quadratic:1 way:1 naturally:1 enough:3 but:11 heat:4 level:8 true:1 absent:2 whether:1 equalization:2 up:3 us:1 placed:1 limit:3 demonstrate:1 problem:3 more:1 ωe:2 called:1 eigenvector:1 constant:2 certain:1 general:5 conserved:1 dε:1 distributions:2 again:2 polytropic:16 generally:1 smears:1 priori:1 details:1 conclusion:1 picture:1 a0:2 important:1 implies:3 established:1 curve:3 together:1 time:4 far:1 decoherence:8
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quant-ph9510027.txt |@word secondly:1 four:1 ψ1i:3 controversial:1 crete:1 const:1 violate:2 assigning:1 γn:1 under:11 ontological:1 rise:1 every:6 experimentally:3 disturb:2 solution:1 convenience:2 vector:6 guiding:3 force:1 coordinate:1 construed:1 consists:1 second:4 even:12 established:2 specification:2 rutgers:1 above:6 new:2 increasing:1 consisting:1 pictorially:1 simultaneously:1 notions:1 never:1 here:10 path:15 obtained:2 suitably:2 rests:1 karin:1 permit:1 suitable:11 spacetime:1 projection:1 explained:3 stern:8 glance:1 would:6 mediate:1 noting:1 call:4 therefore:4 separated:13 naive:1 holt:2 odinger:8 aware:1 warn:1 backwards:2 hold:8 must:17 setup:1 work:4 mi:1 mk:2 theories:2 transparency:5 my:1 example:14 indicated:2 give:2 relativistic:10 organized:1 involve:1 want:1 cushing:1 absolute:5 provide:1 feature:1 how:5 nontrivial:1 significance:3 ordinary:3 description:6 transforming:1 after:9 demanding:2 diagram:1 wrong:1 law:3 attempt:1 effective:1 jb0:2 appreciate:1 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quant-ph9510028.txt |@word represent:2 monte:2 consider:3 remarkable:1 dynamic:1 results:1 osi:2 scalar:1 issues:2 compact:1 whose:1 certainly:1 rmki:1 depend:1 calculate:3 deterministic:2 supported:1 finally:1 present:1 stochastic:10 include:1 norm:2 applied:1 updated:1 labels:1 straightforward:1 frequencies:1 wave:8 electron:3 updates:1 difference:1 exact:3 leads:3 hamiltonian:4 nucl:1 vector:5 indices:1 optics:3 upper:1 consistent:3 direct:1 sign:1 approximation:1 dynamics:11 chem:1 carlo:2 canonical:2 even:1 appear:3 apparatus:1 uniform:2 current:1 version:1 above:1 obvious:1 consisting:1 full:1 backreaction:4 respectively:2 here:2 equations:5 appears:1 interpret:3 obtained:1 great:1 increments:3 suitably:1 institute:1 vectors:1 binder:2 chain:1 suitable:1 via:2 useful:1 summation:1 apply:1 orderings:1 planck:1 use:1 reflected:1 would:4 analytic:1 predictions:1 ψt:3 linear:2 call:2 therefore:1 taken:2 scope:1 theoretical:3 more:3 nauka:1 formally:2 composite:8 becomes:4 operators:4 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quant-ph9510029.txt |@word limited:1 transitions:1 consider:5 represent:1 caused:1 magnetic:1 varying:1 dynamic:1 results:3 perelman:1 illustrated:2 eds:3 computation:1 consists:3 sci:1 expressions:1 denotes:2 contributions:2 localized:13 scr:1 depend:4 producing:1 recurrence:3 according:1 those:2 excluded:1 under:2 suominen:1 reforms:1 include:2 indicating:1 alber:2 unnormalized:4 applied:2 supported:1 t12:1 straightforward:1 far:1 rise:1 stroud:8 wave:171 electron:4 every:1 govern:1 experimentally:2 nieto:6 method:1 four:2 receiving:1 vibrational:1 level:3 transmission:1 ref:2 list:1 applicable:1 simmons:1 plotting:1 large:4 discrete:2 convenience:2 vector:1 small:1 eigenvalues:1 unaware:1 smaller:1 ionize:1 periodicity:15 pulse:5 second:4 chen:1 dynamics:9 l2z:1 canonical:1 index:2 what:4 primer:1 length:1 appear:2 apparatus:2 morse:2 section:2 current:4 suspect:1 above:3 fractional:30 3c:1 new:9 3a:2 principal:1 bn:2 3e:1 3d:1 condensed:2 full:29 christian:1 den:2 respectively:3 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