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quant-ph9901047.txt |@word code:20 consider:4 remarkable:1 global:2 results:5 scalar:1 proposition:5 computation:9 follow:1 gk:2 gj:1 issues:1 inverse:1 disposal:2 equivalence:2 tr:1 contained:1 environment:6 tl:1 critical:1 th:1 under:2 statespace:1 resources:2 proved:1 straightforward:1 very:2 unitaries:1 chuang:1 matrices:1 condition:1 dim:6 annihilated:1 immediately:2 level:1 irreducible:1 guo:1 solution:1 noiseless:2 commute:2 irreducibly:3 recall:1 relation:2 vincenzo:1 smaller:1 villa:1 deutsch:1 haar:2 direct:2 fold:1 second:2 further:1 dynamics:4 implemented:1 eigenspaces:1 linear:4 even:2 index:1 errors:3 d2:1 sum:1 above:1 new:2 implementable:2 satisfy:2 evolving:1 notions:2 gener:1 here:3 desired:1 groups:1 address:1 strong:1 observing:1 obtained:10 remark:1 ref:3 commutant:2 institute:1 involved:1 vectors:2 allows:1 leaving:1 suggests:1 subdynamics:1 action:2 implement:2 proof:4 via:1 useful:1 projection:1 extra:2 requiring:1 logical:1 highly:1 coinciding:1 addressed:2 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quant-ph9901048.txt |@word world:1 contracted:1 consider:1 aǫ:2 supported:2 obtain:3 gravity:1 obtains:1 λb:3 λa:3 xi:1 gauge:1 edu:1 large:1 taiwan:1 gdk:3 λn:4 help:2 number:1 decomposing:1 tw:1 fix:1 technique:1 functions:1 including:1 jan:1 h2:2 finally:1 parts:1 transformed:1 systems:2 th:2 stable:1 mail:1 iτ:1 hope:1 eventually:1 dl:2 spinless:2 dk:4 notation:1 evaluated:1 obtaining:1 dd:2 de:1 harmonics:1 wave:1 dx:1 using:1 aλ:1 aν:1 ds:4 condition:1 dq:4 sliced:1 particle:3 presented:1 adk:1 university:1 arxiv:1 scalar:1 acknowledgments:1 qa:5 vector:2 integrals:3 arbitrary:3 small:1 2m:10 fixed:4 inside:1 qn:4 differential:1 ei:5 methods:1 nthu:1 series:1 national:2 some:1 roc:1 fixing:1 value:1 complete:1 quantum:4 our:2 ρn:2 eq:2 remarkably:1 techniques:1 subscripts:1 affine:5 scale:1 stands:2 invertible:1 space:8 diag:1 sum:1 since:1 radical:1 find:1 boundaries:1 studying:1 written:1 qb:3 ra:3 rb:3 invariant:1 boundary:3 induced:1 conditions:2 method:2 terms:1 theory:1 8m:1 respectively:1 each:1 here:1 paper:1 ǫs:2 statistics:1 path:13 appears:1 wall:2 box:1 elegant:1 dirichlet:4 district:1 rotationally:1 tractable:1 via:1 compton:1 furthermore:1 motion:1 length:1 purely:1 west:1 action:3 g0:18 conveniently:1 ylm:2 spacetime:1 hsin:1 involves:1 first:3 formulated:1 xn:4 chu:1 point:1 xb:12 omitted:1 into:1 xa:12 integral:10 functional:1 dimensional:4 references:1 indices:1 angular:1 forms:1 given:6 perturbation:3 hep:2 would:1 basis:1 covariant:1 enable:1 system:2 been:1 class:1 expand:1 superscript:1 ph:1 was:1 energy:5 more:1 function:4 introducing:1 only:1 north:1 hua:1 youth:1 dλρ:1 club:1 under:1 but:1 contract:1 part:2 aµ:4 derivative:1 known:1 c2:5 present:1 must:1 applied:1 ρb:1 impenetrable:1 ρf:4 minkowski:2 dρn:1 work:1 smooth:1 up:1 us:3 transformation:4 will:1 euclidean:2 hsinchu:1 achieve:1 amplitude:6 ix4:1 performed:1 mechanics:2 polymer:1 ae:2 council:1 defined:2 relativistic:15 metric:2 contribute:1 non:1 general:4 indicates:1 scientific:1 fluctuating:1 dλ:2 dxi:1 formulation:2 duru:2 cosmology:1 any:1 yl:1 hone:1 lim:1 dµ:3 goal:1 convenient:1 lin:6 2ǫs:1 connection:2 perturbative:1 field:2 unity:1 potential:9 quant:1 take:2 fourth:1 spatial:1 department:1 solve:2 dimensionless:1 parameter:1 eff:3 ultimate:1 independent:1 over:1 description:1 singapore:1 may:1 comprehensive:1 time:2 problems:5 mapping:1 fa:1 moving:1 studies:1 velocity:1 variable:1 get:1 kleinert:3 dimensions:1 tsing:1 effective:1 expression:1 interval:1 well:1 rotary:1 dρ:3 hyperspherical:1 hi:3 mass:2 sn:1 exp:2 electromagnetic:1 coordinate:1 representation:3 otherwise:1 physics:2 order:2 gµν:2 usual:1 |
quant-ph9901049.txt |@word dynamik:1 consider:2 results:3 four:2 edu:1 consists:1 follow:1 whose:3 tw:1 segments:1 technique:1 finally:1 present:2 th:1 include:1 applied:1 amplitudes:2 very:1 assuming:1 wave:7 every:1 radium:1 verh:1 difference:1 condition:6 presented:2 solution:8 ri:16 large:1 vector:2 optics:1 der:1 nthu:1 sign:1 zero:1 evaluated:1 linear:2 index:1 stands:4 morse:2 diag:1 section:2 slight:1 expressed:2 current:6 above:2 method:1 satisfy:1 respectively:3 component:1 here:2 compressed:1 concluding:1 consideration:1 along:1 equations:1 change:2 great:1 involved:1 periodic:3 pˆµ:6 via:3 useful:1 family:1 merely:1 explained:1 total:1 planck:2 colloq:1 asymptotic:1 covariant:1 dω0:3 comparing:1 therefore:6 m2:15 type:1 refs:1 reflects:1 more:2 ir:1 becomes:3 envelope:2 odinger:3 berlin:1 particular:1 known:1 cases:2 hold:1 iii:1 must:2 valued:1 deformed:1 equation:20 centrifugal:1 theories:1 example:1 numbers:3 give:1 relativistic:36 states:2 dxj:4 arise:2 hydrogen:4 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quant-ph9901051.txt |@word global:1 leads:2 roy:3 scalar:1 edu:1 go:1 abundant:1 compact:1 tw:1 equivalence:4 vef:1 finally:1 th:4 under:1 wave:2 exact:1 condition:1 presented:3 turns:1 solved:3 vector:4 nthu:1 za:4 zb:4 past:1 elegant:1 further:1 dynamics:2 tev:1 appear:1 morse:1 trivial:1 new:6 method:7 respectively:2 meo:1 pushing:1 here:2 concluding:1 path:12 z2:1 glo:1 shift:1 glc:2 domains:1 viewpoints:2 drc:1 suitable:2 via:2 apply:3 florence:1 standing:1 symbolized:1 grosche:1 more:4 dλρ:1 becomes:1 factor:1 odinger:2 normalized:1 known:3 iii:1 me:1 states:1 mc:7 mo:10 oscillator:6 following:3 beautiful:1 relativistic:26 dxo:1 indicates:1 performed:1 hydrogen:2 lamb:1 notation:1 provide:1 discussion:1 maps:3 pure:1 hostler:1 parameter:2 simplicity:1 may:3 fy:1 tsing:1 effective:3 green:3 ho:1 representation:1 talk:1 superscript:1 developed:1 years:2 course:1 paper:5 london:2 lc:10 ln:1 interesting:2 solving:2 2mo:2 forms:1 absence:1 offers:1 systems:4 fujikawa:1 mail:1 non:1 yl:2 they:1 2v:2 equality:2 university:1 2x:2 radial:8 2m:2 2h:4 em:4 eo:5 energy:10 related:2 static:1 ex:1 quantum:5 eq:7 qa:3 space:2 furthermore:1 since:1 rev:3 research:1 content:1 ra:4 rb:4 rc:10 math:5 m2c:9 theory:1 approaches:2 e2:5 length:1 place:1 stimulate:1 xo:5 symmetry:2 xb:5 radical:1 variables:1 xa:5 angular:1 given:5 perturbation:2 introduction:1 eqs:1 system:18 relations:3 calculations:1 hua:1 technique:1 part:2 za2:1 than:3 richer:1 amplitude:10 providing:1 electrodynamics:1 generalization:1 need:1 any:2 studying:1 lin:6 decomposing:1 potential:14 take:2 eff:5 most:1 remarks:1 bander:1 observation:1 later:1 implications:1 typeset:1 ks:1 feynman:1 proceedings:1 exp:1 mechanical:1 physics:2 fact:1 quantity:1 saying:1 purely:1 gauge:1 solutions:1 fine:2 find:2 parameters:1 undoubtedly:1 jan:1 only:1 indeed:1 constant:2 local:2 hope:1 do:3 dl:2 dk:13 dh:1 get:1 de:1 dc:7 2mc:11 ones:1 dz:1 dx:1 progress:1 thomson:1 ds:7 dq:2 µ2c:1 fields:1 arxiv:1 rotationally:2 qb:3 fixed:10 national:1 zb2:1 ways:1 µo:6 between:5 invariant:2 subscript:1 approach:3 µc:1 august:1 many:1 taking:3 compton:1 roman:1 hω:3 lo:3 expression:1 simple:1 leipzig:1 harmonic:5 dimensional:5 directions:1 consideration:1 associated:1 mc2:2 conference:1 basis:1 been:3 hyperspherical:1 expected:1 ph:1 harmonics:1 2mc2:2 itzykson:1 fortschr:3 observe:1 external:1 derivative:1 c2:3 former:1 c4:9 applied:1 pacs:1 adk:3 discoveries:1 polymer:1 century:1 ii:2 reads:1 spinless:1 hone:1 different:5 italy:1 suggest:1 make:1 parts:1 quant:1 pauli:1 dimensionless:1 higher:1 development:1 singapore:1 action:5 frequently:1 kleinert:9 schr:2 well:3 bohr:1 without:1 solve:1 convenient:1 model:1 spherical:1 unified:1 just:1 obtain:2 λb:3 λa:3 world:1 taiwan:1 gdk:6 adding:1 friedrich:1 transformed:3 lett:4 transformation:10 fluctuating:1 spatial:1 using:1 advanced:1 mod:2 inomata:2 success:1 particle:3 integrals:2 arbitrary:2 specifies:1 because:1 some:2 scale:1 dimensions:1 lead:1 electromagnetic:1 pev:1 provides:1 prog:1 proc:3 temple:1 inserting:1 scientific:1 sixth:1 revtex:1 references:1 losing:1 zur:1 o:4 ylm:1 considerations:1 soc:3 h2:2 into:6 integral:10 functional:1 appropriate:1 accounts:1 statistics:1 hep:4 way:2 was:1 rca:6 rcb:6 function:5 complete:1 form:1 offer:1 abhandlungen:1 ec:12 atom:2 hc:1 wintgen:1 minkowski:1 rc2:2 hsinchu:1 ec2:6 mechanics:4 ae:2 defined:3 abstract:1 dirac:1 diverse:1 dλ:2 duru:5 viewpoint:1 physical:2 again:1 functions:3 us:4 fixing:1 application:1 papers:1 department:1 theor:1 beginnings:1 meixner:1 problems:6 important:1 variable:1 structure:2 coulomb:13 dτ:1 interval:2 dρ:4 mass:1 time:1 international:1 rep:1 once:1 |
quant-ph9901052.txt |@word consider:2 roc:1 results:1 scalar:1 computation:1 edu:1 gl:20 calculate:3 tw:1 th:2 under:1 kν:1 hill:2 amplitudes:1 hibbs:1 g0:4 soni:1 2rb:2 2ra:2 wave:12 sons:1 hck:1 exact:2 presented:2 turns:1 solved:2 convenience:1 vector:2 interchanging:1 mκ:1 equation:2 zh:1 grateful:1 nthu:1 sign:1 approximation:2 zy:1 further:1 stands:1 diag:1 sum:4 expressed:1 poles:3 gl0:2 new:3 method:6 satisfy:2 κn:1 mec:1 here:2 sinh:8 concluding:1 path:14 eikr:1 obtained:2 drk:1 resulting:3 action:1 conveniently:1 spacetime:1 involves:1 formulated:1 convolution:1 clark:1 mλ:3 summation:1 use:1 takes:1 would:1 positive:3 whittaker:2 negative:1 therefore:2 relativistic:14 historically:1 grosche:2 gaveau:1 dλρ:7 becomes:2 odinger:2 validity:2 oberhettinger:1 berlin:1 dirichlet:1 normalized:1 known:2 bauch:1 eα:4 must:1 springer:1 mc:2 integrating:1 ρk:2 work:1 mi:1 modified:2 following:1 arrive:1 root:1 expanding:3 states:2 dxk:4 council:1 sharp:1 calculated:1 βe:1 provide:1 enl:5 mµ:1 pure:1 parameter:1 ζa:4 ζb:4 may:2 fy:1 wiley:1 derived:1 different:2 applications:2 plane:1 representations:1 induction:1 tsing:1 effective:2 spectra:3 explicit:1 summing:3 su:2 green:8 allow:1 representation:1 order:1 gµν:1 interpretation:1 help:2 developed:1 over:8 years:1 paper:3 before:1 group:1 la:1 procedures:1 fix:2 solving:1 forms:1 harmonics:1 mail:1 imz:2 non:3 bound:1 framework:1 now:2 easily:1 term:3 equality:2 2r:2 university:1 2a:1 2b:1 radial:5 2l:3 2m:5 2n:1 square:1 simplicity:1 series:11 energy:10 ea:1 ec:2 measure:1 quantum:5 eq:13 special:2 out:1 rez:1 space:2 kummer:1 nuovo:1 rev:3 denotes:1 re:2 dλ2:1 ra:40 rb:40 dλ1:4 mν:1 formula:4 dse:1 ref:1 rj:8 rk:2 8n:1 theory:2 discontinuity:2 standard:1 york:2 e2:2 interaction:1 r2:2 dλn:7 introduction:1 length:1 hence:1 first:2 xj:12 xk:2 xi:1 xn:1 xb:19 variables:1 xa:19 number:2 xe:5 reached:1 angular:2 given:8 perturbation:13 ordering:1 system:10 relations:1 their:1 intermediate:1 john:1 recovered:1 2ab:1 hua:1 exactly:2 part:2 x0:1 past:1 accordance:2 youth:1 amplitude:7 powers:1 perturbative:2 electrodynamics:1 correspond:1 vilenkin:1 iii:1 kustaanheimo:1 bhagwat:2 depending:1 βe2:3 studying:1 lin:3 note:2 extracted:3 k0:11 take:1 hs:2 2ikr:5 accuracy:1 kac:2 formulas:1 continuous:3 systems:1 most:1 ra2:1 remarks:1 extremely:1 kd:1 clear:1 typeset:1 feynman:6 exp:2 velocity:1 physics:3 bateman:1 rayleigh:1 supported:1 wµ:1 gauge:1 solutions:2 fine:1 find:2 based:1 jan:1 moments:1 only:2 transcendental:1 constant:1 hope:1 dk:1 notation:2 get:2 dependent:1 de:2 expectation:2 2mc:7 cannot:1 dz:3 dy:2 dr:1 ds:6 coth:4 extract:1 approach:2 arxiv:1 yield:1 acknowledgments:1 inomata:1 qm:3 valid:1 qn:1 national:2 radius:1 result:5 arg:2 discussions:1 techniques:2 αe:1 closed:1 boundary:1 conditions:1 across:1 terms:1 importance:1 iπλ:1 wi:1 article:1 many:1 compton:1 contract:1 interesting:1 extracting:1 expression:2 ck:1 ch:1 nonrelativistic:1 dimensional:7 pole:1 respect:1 mc2:16 math:1 basis:1 been:1 hyperspherical:1 ph:1 choose:1 2mc2:2 gerry:1 corresponding:2 quantities:1 iµ:1 coherent:1 observe:1 c2:7 c4:10 case:1 utmost:1 exponential:1 pacs:1 value:4 transformation:3 will:1 euclidean:2 near:1 neat:1 behavior:1 property:1 procedure:1 polymer:1 vol:1 refs:1 thus:1 them:1 ii:2 ik:1 hone:1 containing:1 develop:1 author:1 perform:1 lett:3 khandekar:1 unity:2 complex:1 quant:1 dimensionless:1 higher:1 used:1 singapore:3 i2:3 moment:1 levels:3 moving:1 chang:1 kleinert:2 schr:2 magnus:1 well:2 bohr:1 convenient:1 ae:2 just:1 being:1 obtain:8 λb:29 λa:34 via:5 positions:1 λk:1 λj:6 taiwan:1 λn:7 cut:3 field:1 point:2 add:1 potential:8 attractive:1 easy:1 iπ:3 iτ:1 real:1 fluctuating:1 iν:4 rnl:4 rules:1 evaluate:1 iη:2 using:6 helpful:1 necessary:1 like:1 particle:2 integrals:4 arbitrary:1 mcgraw:2 mathematical:1 because:1 methods:1 stiefel:1 some:1 rkl:2 b2:1 scale:1 electromagnetic:1 integration:3 providence:1 decomposition:1 provides:1 bessel:1 inserting:2 scientific:3 power:2 conventional:1 expansion:5 revtex:1 found:1 imaginary:1 schulman:2 dze:1 world:3 theorems:1 o:2 range:2 important:1 ylm:6 other:1 soc:1 ψnlm:1 rj2:1 into:4 integral:12 functional:2 eπ:2 appropriate:1 2iν:1 references:1 wν:1 wλ:1 statistics:1 hep:2 approximate:1 was:1 propagator:2 function:17 complete:1 form:4 reduce:1 denoting:1 hk:2 hc:4 he:1 whether:1 minkowski:1 us:4 hsinchu:1 limit:1 define:1 similar:1 laplace:2 ix4:1 mechanics:3 proved:1 defined:4 ah:3 abstract:1 am:1 doctor:1 right:1 dλ:5 kl:1 check:1 metric:1 physical:1 functions:13 nl:2 cim:1 fixing:1 when:1 treatment:2 handed:1 application:2 setting:1 spatial:1 department:1 nr:6 picture:1 ξr:1 problems:7 a2:1 variable:1 structure:1 coulomb:10 mass:2 time:2 |
quant-ph9901053.txt |@word represent:2 partial:1 consider:2 global:1 results:1 scalar:2 computation:1 consists:2 follow:2 whose:3 preserves:1 depend:2 integral:4 tu:8 tr:6 presents:1 γj:3 finally:1 tj:6 present:1 under:3 dramatically:1 applied:3 supported:1 advantage:2 orthogonal:9 very:2 bratislava:1 every:5 entries:1 difference:2 matrices:1 condition:1 level:2 irreducible:4 rˆ:1 large:1 admissible:2 vector:5 phase:3 small:1 noted:2 smaller:1 version:1 haar:1 maximization:1 hillery:1 fold:1 second:2 design:2 further:1 implemented:3 odd:1 even:2 aim:1 what:2 appear:1 xρ:1 expressed:1 experiment:1 new:2 consisting:1 full:1 here:3 desired:4 address:1 represented:5 consideration:1 change:2 knowledge:2 obtained:1 institute:1 involved:1 larger:3 leaving:1 accomplished:2 simply:1 suitable:3 makes:2 buˇzek:2 via:1 followed:1 namely:2 scaled:1 unit:2 takes:1 would:3 massar:2 covariant:1 positive:4 clebsch:1 properties:1 scenarios:3 therefore:6 more:2 formally:1 relax:1 outputs:1 operators:7 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quant-ph9901054.txt |@word inverse:2 monterey:1 code:2 partial:1 consider:12 springer:1 squared:1 varying:1 brownian:2 results:5 leads:1 nottingham:1 tricomi:2 amendola:1 chattopadhyay:1 consists:1 gn:4 conservative:1 hψ:1 localized:1 devoted:1 whose:4 certainly:1 c0:2 oscillating:5 calculate:2 everywhere:2 description:4 deterministic:4 contained:1 interactions:2 presents:3 finally:3 monotonically:1 device:1 heavyside:1 th:1 stable:3 stochastic:27 nodes:8 hints:1 interacting:1 miele:2 already:4 virtue:1 g0:2 very:2 kω:1 rise:1 dell:2 wave:29 electron:1 every:16 whatsoever:1 remarks:3 experimentally:3 difference:1 exact:2 condition:11 treating:1 entire:1 obvious:1 solves:1 presented:1 solution:26 t0:23 t1:4 try:2 discrete:1 marra:2 vector:1 phase:10 math:1 dealt:1 el:1 eigenvalues:8 markov:3 funcional:1 limitations:1 sturm:2 regained:1 elusive:1 guidelines:1 among:2 measurable:1 ornstein:2 approximation:1 tey:1 second:5 epac:1 dissipation:2 7th:1 further:2 dynamics:18 correspond:1 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quant-ph9901066.txt |@word represent:2 partial:27 consider:1 pointing:1 lagrangian:5 magnetic:38 results:3 leads:5 scalar:1 computation:1 go:4 expressions:1 cases:3 causes:4 peshkin:1 devoted:1 depend:2 charge:6 does:2 under:3 inwards:2 worth:1 case:23 iǫ:1 amplitudes:3 string:2 advantage:1 very:1 than:4 peaks:1 account:3 wave:26 electron:1 every:1 decide:1 fall:3 fab:22 experimentally:1 difference:2 fakult:1 condition:1 europhys:2 accompanying:1 diverging:2 turns:2 solution:3 large:7 solved:1 leninsky:1 quick:1 equation:5 nowak:1 smaller:4 force:1 oscillation:1 deutsch:1 measurable:1 sign:2 konstanz:4 value:1 pass:1 further:1 bold:1 even:3 reproduce:1 appear:1 section:18 axes:1 uniform:3 access:1 abs:24 localized:2 above:6 fractional:1 nabs:17 new:1 falling:1 contributes:1 method:3 contrast:1 coefficient:2 outgoing:2 tonomura:1 nonlinearly:1 loose:1 modify:1 here:1 atoms:24 behaviour:13 cylindrical:2 others:1 directions:1 along:1 strong:1 appears:1 obtained:5 incoming:1 hankel:1 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quant-ph9901068.txt |@word limited:1 consider:7 existing:1 switches:2 computation:1 go:2 suits:1 tn:1 quasi:2 depending:1 under:1 nodes:1 tc:2 advantage:1 far:2 polarization:1 unstructured:1 tradeoffs:1 fan:3 vast:1 solves:1 level:2 t6:1 positions:3 proposals:1 solution:4 large:4 small:4 economically:1 work:1 imply:1 cost:9 investment:3 machines:1 even:4 what:1 appear:1 clock:2 contributed:1 expressed:1 above:1 ever:1 consisting:1 told:1 modify:1 here:4 desired:1 slow:1 free:1 address:1 active:1 logarithmic:3 box:2 search:51 my:5 leaves:1 larger:3 allows:2 amount:1 published:1 makes:1 via:1 useful:1 addressed:2 boolean:1 tq:2 jan:1 use:5 takes:3 would:12 prove:1 stated:1 negative:1 few:1 therefore:1 criteria:7 exhaustive:1 tell:1 more:3 successful:1 becomes:3 reversible:1 informally:1 known:2 central:5 cases:1 me:2 high:1 avoiding:1 setup:1 des:1 grover:17 slowness:1 following:1 root:3 compare:7 figure:1 give:1 states:1 assumptions:1 want:2 sense:2 unordered:1 information:1 varied:1 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quant-ph9901069.txt |@word secondly:1 consider:15 remarkable:1 decays:1 bandgap:3 results:2 existing:3 four:2 known:1 gc:8 gb:13 ga:15 gj:3 localized:4 increase:1 ır:1 depend:4 calculate:1 integral:3 tr:1 passage:2 charge:1 mediated:5 under:2 leung:1 cm3:1 applied:1 confirmation:1 amplitudes:6 g0:3 very:6 frequencies:9 void:5 stroud:1 polarization:3 bratislava:2 orientations:1 refractive:1 resonant:11 experimentally:2 condition:1 tran:2 exits:1 level:10 opt:7 positions:2 eigenmodes:1 proposals:2 solution:2 leave:1 solved:2 pbg:4 adjust:1 phase:4 small:6 entropy:1 optics:1 equation:3 upper:3 smaller:3 coordinate:1 periodicity:3 approximation:3 second:3 evaluated:1 rigorous:1 dynamics:3 linear:4 even:2 index:1 what:4 rate:1 3r:1 section:11 axes:3 while:7 expressed:2 cell:1 experiment:9 intersect:1 3b:3 3a:2 method:1 3d:1 processing:1 simultaneously:4 chose:2 degree:3 exchange:4 promising:1 equals:1 here:5 atoms:114 explore:1 cylindrical:5 operating:1 cos2:1 directions:1 consideration:1 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quant-ph9901070.txt |@word secondly:1 concept:6 consider:4 remarkable:3 2m3:1 magnetic:1 brownian:1 results:1 chaos:1 four:2 eds:4 gc:1 follow:1 gm:1 ptp:1 looking:2 supposedly:1 dimensionality:1 re:1 2m5:1 charge:5 th:1 prigogine:2 confirmation:1 g2:1 very:1 bjorken:1 electron:8 difference:1 encounter:2 treating:1 entire:4 bring:1 applicable:1 large:4 discrete:2 coincidences:3 small:2 cms:3 noted:6 construed:1 consistent:2 approximation:1 across:1 zero:2 narlikar:1 value:1 further:5 quite:3 even:1 reconciliation:1 what:2 appear:1 rd3:1 giving:1 section:1 near:1 expressed:1 consistently:1 goes:1 fractional:4 expresses:3 net:1 ever:3 journal:3 contrast:1 annalen:1 justification:2 lee:1 relates:1 equals:2 here:1 behaviour:1 others:2 alone:1 ratio:3 drell:1 standard:2 equations:2 deduced:1 obtained:2 solid:1 superspace:1 suggests:1 makes:1 der:1 emerge:1 scales:3 merely:1 brought:1 viz:5 duce:1 neutrino:1 total:3 planck:27 unit:2 use:4 feb:1 proceed:2 would:3 positive:1 handedness:3 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