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quant-ph9503022.txt |@word represent:8 concepts:3 stressed:1 consider:3 priori:1 caused:1 magnetic:1 edi:1 results:11 existing:1 proposition:1 shimony:1 psycho:1 whose:1 supposedly:1 depend:2 calculate:1 subjected:2 technique:1 young:2 passage:1 presents:1 chances:1 finally:1 those:3 under:1 ontological:6 p2:1 amplitudes:8 straightforward:1 very:2 p0i:1 ρr:1 conditions:1 wigner:3 wave:5 reinterpret:1 rotational:1 every:4 orientations:1 symptomatic:1 cook:1 difference:1 nor:1 condition:1 x0i:3 hamiltonian:1 did:1 positions:1 correct:4 magnet:1 solved:1 vector:8 minimal:1 yale:1 eigenvalues:4 der:1 possibility:1 measuring:3 abbreviated:1 says:1 pragmatic:1 probabilities:1 opting:1 obsolete:1 maintain:1 jump:1 imply:3 pass:2 component:2 copenhagen:12 cat:1 expressions:1 ba:1 even:5 index:2 what:1 contained:1 ct1:1 apparatus:3 incompatible:1 giving:1 putterman:1 section:14 experiment:7 above:7 expresses:1 ever:1 equivalent:1 satisfy:1 completion:1 simultaneously:2 placing:1 never:1 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quant-ph9503023.txt |@word consider:2 dynamic:6 results:1 osi:3 go:1 whose:2 preserves:1 rmki:1 violate:2 integral:2 finally:1 behave:1 indicate:1 p2:22 ρj1:2 seemingly:1 wave:2 drexel:1 exact:1 illustrated:1 hamiltonian:11 did:1 turns:1 proposals:2 try:1 settle:1 indices:2 averaged:1 consistent:3 approximation:2 zero:3 substituting:1 dynamics:30 substitute:2 canonical:10 even:2 will:10 what:1 stands:3 apparatus:1 current:2 above:4 new:1 originate:1 contrast:1 respectively:2 component:1 proc:1 twentieth:1 represented:1 consideration:1 invented:1 equations:4 dp2:1 obtained:3 institute:1 larger:1 resulting:1 poisson:3 suitable:1 changes:1 pearle:2 composed:3 via:1 classification:2 problematic:1 summations:2 prefer:1 integrations:1 replace:1 brought:1 summation:1 apply:2 total:4 planck:5 asymptotic:2 would:7 prove:1 positive:1 century:1 comparing:1 squires:1 relativistic:1 taken:1 scope:1 noisy:4 until:1 more:1 becomes:1 operators:2 odinger:4 reversible:1 controlling:1 basically:1 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quant-ph9503025.txt |@word aguilera:1 represent:1 concept:1 consider:4 rev:12 magnetic:1 results:5 leads:3 discreteness:1 nuno:1 ga:1 consists:1 gm:1 reasoning:1 particles:3 depend:1 schiff:1 scrutinize:1 paris:1 concerned:2 equivalence:1 presents:1 charge:1 those:1 under:1 stabilizing:1 ontological:1 must:2 hume:2 conjecture:4 amplitudes:1 g2:1 misinterpretation:1 alambertian:1 very:4 tends:1 none:1 geometrical:1 antigravity:4 electron:2 decide:1 fall:4 word:1 emphasized:1 difference:3 feeble:1 condition:1 four:1 clouds:1 level:6 turns:1 solution:7 hartle:2 solved:1 small:1 setup:1 configurations:2 upper:5 des:2 force:3 foundation:2 mg:3 δg:1 sign:4 approximation:2 second:6 alfv:2 traveling:2 further:2 linear:5 even:2 what:3 plays:1 appear:1 apparatus:1 clock:1 section:4 dr2:3 realizing:1 debate:1 dχ2:1 version:2 en:2 above:11 flowing:2 new:1 falling:2 order:1 ever:2 inertial:1 filled:1 movement:2 body:8 full:1 degree:1 respectively:2 human:2 never:1 here:6 atoms:8 free:4 alone:2 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quant-ph9503026.txt |@word consider:2 chain:1 particular:4 brownian:1 results:2 existing:1 leads:1 scalar:1 follow:4 localized:1 whose:4 careful:1 fokker:1 equivalence:1 languages:1 must:1 squeezing:9 those:1 th:3 under:1 stochastic:21 include:2 tb:1 worth:1 ta:1 case:7 g2:1 straightforward:1 zhang:1 very:1 blanchard:1 wave:23 putting:1 application:1 nieto:4 condition:3 entire:1 dia:2 reminding:2 elsewhere:2 truax:1 optics:1 dfpd:2 falco:1 enjoy:1 osmotic:11 consistent:1 zero:1 dynamics:7 linear:2 established:1 what:2 adds:1 appear:2 cast:2 d2:1 section:2 selected:2 consequent:1 current:10 above:6 overcomplete:1 new:5 method:8 coefficient:1 edited:1 prescriptions:1 respectively:2 understanding:1 desired:2 address:1 concluding:1 equations:4 galilei:1 obtained:9 remark:1 algebra:1 suitably:1 rests:1 study:1 allows:1 p2:1 fabrizio:1 published:1 action:2 suitable:3 via:3 useful:2 yuen:1 planck:1 select:1 readily:1 takes:1 would:1 analytic:2 distinct:1 negative:1 next:5 noting:1 centre:3 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quant-ph9504007.txt |@word consider:1 show:1 krainov:1 thresholds:1 mol:1 dynamic:1 results:4 photonic:6 dipole:2 switches:1 hb:1 experiments:1 pulses:8 atomic:2 threshold:13 burgd:1 expressions:2 ieee:1 refs:3 verlag:1 devoted:1 based:2 calculate:1 parameters:3 conclusions:1 fiz:1 ionise:2 jn:1 simplify:1 lithuania:1 exhibits:1 iω:1 simple:4 only:3 other:1 systems:2 under:1 stochastic:1 multistep:1 excited:2 momentum:1 correspondence:2 jn2:1 non:1 around:1 means:1 dependent:1 frequencies:2 conditions:2 introduce:2 number:4 scaling:11 finding:1 electron:4 equidistant:1 half:3 using:1 unique:1 new:1 2s2:1 description:1 scaled:12 processes:4 jensen:1 presented:1 publication:1 fields:2 reduces:2 arxiv:1 fs:3 acknowledgments:1 specific:1 2e:2 nauk:1 yields:1 analytical:1 simplified:1 notes:1 system:1 monochromatic:1 reveals:2 bessel:1 classical:14 foundation:1 lecture:1 zf:1 enables:2 reduce:1 direct:1 pulse:1 observed:5 hs0:2 frequency:7 static:1 examples:1 quantum:16 qualitatively:1 dynamics:7 transitions:2 vilnius:1 es:1 theory:6 shown:1 scale:5 matrix:2 driving:1 rs:7 electromagnetic:10 rep:1 since:1 definite:1 chaos:3 microwave:11 research:1 shortness:1 state:2 absolute:1 between:3 international:1 approach:4 correct:1 apr:1 shows:1 measuring:1 model:3 process:1 ionisation:26 recently:1 linear:1 energy:3 weak:1 kaulakys:4 mechanisms:1 agreement:1 here:2 atoms:6 behaviour:1 clarify:1 explore:1 dependencies:2 casati:1 york:1 hydrogenic:6 hand:1 ratio:1 therefore:2 strong:1 equations:1 transformations:1 2πni:1 great:1 ref:6 central:1 created:1 institute:1 study:1 orfer:1 according:1 o:2 motion:3 addition:2 manifestations:1 including:1 simplification:1 corrections:1 photons:1 experimental:3 first:1 2ni:4 rev:2 useful:1 features:1 probability:1 rydberg:11 namely:1 functional:2 ultrashort:1 highly:1 peculiarity:2 simply:3 relations:3 sov:1 proportional:1 electronic:1 planck:2 rs2:1 ps:2 differ:1 n20:1 described:1 ek:2 basis:5 introduction:1 governed:1 initial:3 three:1 been:2 expressed:1 classically:1 ton:1 observations:2 calculations:1 usp:2 ph:1 pi:1 was:1 theoretical:3 possible:1 tk:1 hz:1 introducing:1 grant:1 form:2 mechanism:2 hs:2 relative:4 factor:1 serve:1 odinger:1 but:2 effect:1 part:1 external:1 atom:12 known:1 reinhold:2 acta:1 maximally:1 p2:1 states:3 springer:1 made:1 consist:2 science:1 equation:1 depends:5 evaluated:3 transformation:3 ωi:1 while:3 vs:2 contrary:1 attention:1 were:1 problem:2 rate:1 result:1 strongly:1 function:5 references:1 constant:2 sanders:1 chaotic:2 molecular:1 abstract:1 thus:1 spectrum:2 general:3 subpicosecond:2 duration:1 kepler:2 periods:1 close:3 hamiltonian:2 hydrogen:3 elements:2 relatively:1 orbital:2 ni:1 different:2 compared:1 multiphoton:4 no:2 provide:1 s0:9 lett:3 same:2 pp:1 onset:2 field:32 high:2 internal:1 quant:1 low:1 evaluate:1 units:1 so:1 you:1 zs:2 explains:2 sin:3 unperturbed:1 opt:1 used:2 electric:1 see:1 investigations:1 may:4 numerical:1 hcp:3 shepelyansky:1 dependence:1 driven:1 action:1 important:1 appreciable:1 suppression:1 koch:1 strength:4 astronomy:1 opportunity:1 why:1 cycle:3 jones:1 diffusion:1 short:1 schr:1 effective:1 framework:1 analyses:1 required:3 melles:1 fsm:2 analysis:2 fsp:1 concrete:2 peculiarities:1 delone:1 negligible:1 time:4 position:1 n2:1 physics:3 order:1 bucksbaum:1
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quant-ph9504009.txt |@word results:1 leads:1 generalize:2 consists:1 scr:1 whose:2 inverse:1 eˆ:19 tr:4 send:3 under:2 applied:1 amplitudes:1 very:1 springer:1 nieto:1 difference:2 exact:1 condition:3 level:1 applicable:1 solved:1 premeasurement:1 optics:1 upper:1 zero:1 enclosed:2 interactions:2 expressed:1 experiment:2 lee:1 respectively:1 never:1 here:5 atoms:11 desired:2 represented:2 equations:2 wait:1 obtained:1 sending:1 institute:1 shift:1 leaves:1 changed:1 usually:1 narrow:1 changes:1 apr:1 merely:1 use:7 takes:1 would:1 probabilities:1 continuous:8 properties:1 therefore:2 type:1 sort:1 lowering:3 israel:2 operators:20 occurred:1 berlin:1 known:4 must:3 states:8 account:1 equation:10 work:2 oscillator:1 following:4 give:1 process:12 haroche:1 sample:1 numbers:1 counting:2 information:6 get:1 till:3 opt:4 acta:1 parameter:2 description:2 ladder:4 after:10 data:1 types:3 whenever:2 so:2 representation:3 sg:8 order:3 exclusive:1 developed:2 experiments:1 through:4 statistical:4 brif:3 before:4 perfect:1 how:2 interesting:1 glogower:4 detected:5 carruthers:1 superoperators:3 mail:1 them:1 propose:1 pegg:3 introduce:1 subtraction:1 they:1 discuss:1 sτ:2 2t:1 easily:1 term:1 sufficiently:1 ueda:2 transmitted:1 mode:5 referred:3 schemes:1 weight:2 barnett:3 reduce:1 idea:2 obtains:1 measurement:13 quantum:5 our:14 event:3 special:4 discrete:6 restricted:1 since:1 rev:8 goy:1 occurs:5 independence:1 shows:4 state:29 diagonal:3 quite:1 davidovich:1 proportionality:1 bayes:4 nonunitarity:1 generate:1 interaction:4 frieden:1 t48:1 features:2 probability:6 rydberg:1 number:29 another:4 impossible:1 given:1 rempe:1 ordering:1 system:4 their:2 scheme:4 gives:1 imperfect:1 exactly:1 optical:2 superoperator:4 shifter:3 kind:2 ben:3 annihilation:1 were:2 enables:2 result:2 measure:2 spectrum:1 need:1 any:4 depending:1 lim:1 davies:1 mechanism:2 note:1 absorbed:1 analogy:1 destroy:1 detector:5 clarifies:1 added:1 measures:1 phase:4 measured:1 why:1 haifa:1 subtracted:4 calculated:1 exp:3 physics:2 fact:3 show:2 reductions:1 find:1 principal:1 photodetector:3 based:3 outside:1 only:10 factor:5 klein:1 means:3 dependent:1 de:2 cannot:3 during:1 dt:2 processes:1 fields:3 arxiv:1 europhys:1 brune:1 view:1 exists:1 testing:1 detection:6 depends:2 descriptions:1 analog:1 concern:1 written:4 difficulties:1 closed:3 between:8 αn:2 terms:1 initially:1 however:3 efficiency:1 problem:1 both:1 many:1 equal:3 raimond:1 variance:2 whole:1 experimental:3 cn:2 point:1 harmonic:1 dimensional:2 active:1 losses:1 ogawa:1 described:13 raise:2 aˆ:1 reduction:8 ph:2 generating:1 concerning:1 excite:1 assert:1 observe:1 understand:1 present:2 case:2 exception:1 excited:13 will:2 technical:1 situation:1 walther:2 real:2 unitary:5 thus:1 according:3 obeying:1 il:1 technology:1 nonunitary:1 different:4 suggest:1 realizing:1 radiation:11 imoto:1 quant:2 mixtures:2 finite:1 events:1 independent:2 used:2 infinite:1 normalization:3 lower:5 well:2 without:1 model:20 usual:2 obtain:2 srinivas:1 aspect:1 using:5 uller:1 density:9 photons:7 conclude:1 realize:1 λdt:1 add:1 valid:1 lett:4 theorem:4 transformation:5 identical:2 around:1 department:1 vacuum:4 immediately:3 mod:2 like:1 reduces:1 ignore:1 either:1 reduced:4 czech:1 creation:1 duration:1 provided:1 describing:1 cavity:24 measurements:1 instantaneous:1 exit:3 assuming:1 refer:2 limitations:1 denominator:1 equivalent:1 bj:8 shifting:1 although:1 post:1 hilbert:3 transformations:1 comparison:1 getting:2 ρˆe:1 essential:1 mutually:1 mean:5 into:3 photodetection:24 references:1 operator:5 proportional:1 statistics:1 span:1 additional:1 there:5 way:2 was:2 conditional:1 form:6 differences:3 but:3 atom:10 technion:2 true:1 raising:3 count:6 made:1 micromaser:1 characteristic:1 inside:5 us:3 below:1 converted:1 continuously:1 distribution:3 similar:1 called:1 aa:1 separated:1 ac:1 associated:1 defined:2 certain:1 abstract:1 describe:1 single:4 susskind:4 no:8 when:5 field:19 interested:1 np:2 conclusion:1 kinds:1 excitation:1 models:1 photon:26 remains:1 includes:1 implies:1 coupling:1 meschede:1 space:4 time:5
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quant-ph9504010.txt |@word secondly:1 measurements:7 consider:13 chain:1 gp:2 interference:1 magnetic:1 global:4 datum:1 results:6 nato:2 leads:1 eds:1 scalar:1 proposition:4 entropy:1 foundations:4 go:2 remarkably:1 compact:1 particles:24 certainly:2 simon:1 clarification:2 disposal:1 concerned:2 deterministic:4 editors:1 uneasy:1 environment:10 uniqueness:2 asking:1 those:2 excluded:1 under:4 explode:1 nodes:3 inconspicuous:1 dramatically:1 ingredient:1 subtleties:1 applied:3 supported:3 risk:1 orthogonal:1 very:9 frequencies:1 pages:2 crossings:3 exception:1 wave:63 lyapunov:1 electron:4 crosses:1 every:2 interpreting:1 summarized:2 han:1 associated:9 encounter:1 subsystems:4 entire:1 randomness:8 unlike:1 immediately:1 hamiltonian:4 did:1 turns:8 notes:1 gibbs:1 t2:2 solution:2 t0:4 large:6 item:1 vector:3 phase:1 dealt:1 small:3 div:2 equation:16 configurations:8 governing:1 application:1 force:1 occurrence:1 foundation:3 miller:1 consistent:1 kato:1 among:1 outcomes:2 second:3 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quant-ph9505001.txt |@word limited:2 maximum:2 particular:1 brownian:1 results:5 leads:1 eds:1 ge:1 dbm:1 increase:2 depend:1 technique:1 micrometers:1 alvarez:1 stable:1 worth:1 santarelli:1 very:2 frequencies:2 wave:1 experimentally:1 difference:4 splitter:2 hamiltonian:3 solution:3 large:1 discrete:1 small:4 optics:1 still:1 upper:4 smaller:2 force:1 cosh:1 zero:1 chem:1 linear:3 blue:2 nonlinear:8 apparatus:3 brackets:1 section:6 while:2 experiment:12 above:2 fractional:1 increasing:3 method:3 satisfy:2 lea:1 commercial:1 here:3 reported:1 shape:1 slow:1 focused:1 groups:1 change:6 obtained:5 search:3 institute:1 shift:3 study:2 changed:1 allows:3 poisson:1 hospitality:1 narrow:2 changes:4 diameter:2 formulated:1 stabilization:1 annihilations:1 visible:1 clairon:1 planck:1 use:1 would:7 commun:1 predictions:1 next:1 comparing:1 therefore:1 taken:2 becomes:1 operators:2 under:2 smirnov:1 varying:2 known:1 mounted:1 must:1 rotational:1 locked:5 mm:1 equation:4 work:3 oscillator:4 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quant-ph9505007.txt |@word 2m2:1 dewitt:2 partial:2 consider:11 springer:1 secondly:1 depends:1 lagrangian:2 global:11 brownian:1 results:4 dudley:1 laura:1 scalar:9 disappears:1 entropy:1 computation:1 c2:44 go:2 clarified:1 manipulations:1 contributions:1 viceversa:1 compact:2 content:1 inverse:1 depend:4 longstanding:1 clarke:1 subjected:2 eˆ:2 canonical:2 spurious:2 finally:1 γo:16 manifolds:4 th:1 under:5 stochastic:32 analogous:2 tb:7 worth:2 ta:7 applied:1 belonging:1 advantage:1 orthogonal:6 far:1 rise:1 dell:1 subject:1 choice:5 dϕx:2 corollary:9 every:7 additional:1 ui:5 little:1 condition:3 treating:1 four:22 tokyo:1 subsets:3 level:1 positions:1 conceive:1 henri:2 proposals:1 solution:10 correct:2 large:1 vector:24 angelis:2 recall:3 small:3 markov:8 dfpd:1 degeneracy:1 osmotic:3 squared:1 neighborhood:9 consistent:5 requirements:1 among:1 direct:1 sign:1 approximation:4 zero:12 interval:1 incidentally:1 further:1 dynamics:3 theory:8 putting:2 aim:1 what:1 appear:2 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