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quant-ph9512017.txt |@word jns:1 nω:2 consider:2 proposed:1 switched:1 generally:1 dynamic:1 choose:1 resonant:5 consists:1 alternative:1 uniform:1 its:1 rev:1 based:1 calculate:1 polarizabilities:1 hrm:2 matrix:2 quasi:1 iej:1 corresponds:1 petersburg:2 th:1 factor:1 h0:2 polarizability:2 non:3 good:1 amplitudes:1 eigenfunction:1 depends:3 evolves:1 dependent:2 frequencies:1 tends:1 results:1 expectation:1 period:1 modification:1 p1:2 they:2 formula:3 dmitriev:2 yu:4 treating:1 eigenvalue:1 february:1 only:1 presented:2 university:2 arxiv:1 by2:1 solution:1 vector:8 small:1 sn:4 stationary:2 characterized:1 configurations:1 monochromatic:2 domain:4 set:2 ei:1 ser:1 ej:3 series:4 energy:2 approximation:2 intensity:2 elements:1 uk:1 cr:1 quantum:2 estimated:1 neglecting:1 electric:2 shown:1 δrm:1 interacting:1 space:1 dsr:1 dipole:2 instantaneous:1 dcos:1 state:7 δm:2 simplest:1 new:2 δrs:1 conditions:2 method:6 terms:3 theory:1 power:3 component:2 attention:1 weak:2 illustration:1 ionization:1 term:1 therefore:2 strong:4 hilbert:1 e2:1 obtained:1 both:1 cos:1 converges:1 remarks:1 institute:1 drs:2 transition:1 allows:1 equal:1 example:1 periodic:5 present:1 hence:1 introduced:1 expression:1 finds:1 first:2 contains:1 a7:1 simple:1 n6:1 into:1 within:1 iss:1 number:2 restrict:1 infinite:1 hermitian:1 because:1 determine:1 proportional:1 illustrate:1 given:3 takes:1 ψr:2 ψs:2 initial:2 msr:1 periodically:1 dispersion:3 calculation:1 combined:1 way:1 ph:1 molecular:7 theoretical:1 more:1 function:8 describe:1 corresponding:1 form:1 δ0n:1 odinger:1 part:1 external:1 values:2 authors:1 level:1 coefficients:3 case:1 states:1 account:1 floquet:1 laser:10 δsk:1 prof:1 equation:1 expanded:3 ωt:2 value:4 instantaneously:1 frequency:2 obvious:1 amplitude:5 uj:4 exp:3 problem:1 dec:1 russia:1 procedure:1 strongly:1 fig:2 susceptibilities:2 defined:1 anomalous:4 aj:5 curves:1 general:3 high:1 single:1 properties:2 hamiltonian:1 evidently:1 axis:1 csm:1 d12:3 means:1 lih:3 orthogonality:1 εr:2 polarization:10 field:23 potential:1 quant:1 department:1 finite:2 switching:2 unperturbed:2 independent:1 extended:1 superposition:2 see:1 easily:1 mechanical:1 molecule:13 variation:1 moment:2 bsj:2 phase:1 a2j:1 wave:2 parallel:1 cns:4 eigenvectors:1 fourier:4 schr:1 considered:3 light:1 calculated:2 steady:3 correspond:1 st:2 optical:1 principle:1 components:2 time:7 representation:1 physics:2 bulletin:1 δmn:1
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quant-ph9512018.txt |@word consider:2 pointing:1 similarity:1 trigonometric:5 four:1 expressions:1 contributions:2 worked:2 devoted:1 whose:1 calculate:1 γr:8 summarised:1 helps:1 th:1 under:3 analogous:1 worth:1 mehta:2 applied:2 straightforward:1 very:2 frequencies:2 rise:2 account:2 wave:7 exact:15 prevents:1 condition:14 generalised:1 school:1 solves:1 level:1 positions:2 solution:1 large:2 solved:2 convenience:1 pˆ2:1 enclosing:10 eigenvalues:11 lines:3 encloses:2 compensated:1 sukhatme:2 b21:2 sign:4 approximation:6 elegant:2 zero:5 evaluated:2 chaturvedi:1 iαx:1 substitute:1 qmf:8 residue:4 what:2 morse:1 giving:1 section:4 analogously:1 poles:34 above:9 selecting:2 new:5 contributes:1 hb1:1 method:10 coefficient:4 full:1 respectively:5 equals:1 here:12 understanding:2 expansion:7 concluding:1 along:4 standard:2 equations:3 appears:1 change:5 obtained:3 ref:1 suitably:1 institute:2 involved:2 study:1 studied:1 allows:1 akk:1 periodic:3 action:6 khare:3 implement:1 suitable:3 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quant-ph9512025.txt |@word gr:1 pointing:1 rev:8 global:4 brownian:1 results:5 leads:2 eds:1 entropy:1 computation:1 localized:1 analytic:1 deterministic:1 tp:1 essentialy:2 environment:10 finally:1 daniel:1 preserved:2 under:3 stochastic:7 case:2 md:3 very:4 rise:1 percival:6 every:5 dispersions:2 exact:1 condition:3 paz:2 illustrated:1 level:1 knight:2 solution:8 t1:1 large:1 baltimore:1 vector:1 small:1 optics:2 work:1 consistent:1 approximation:1 rate:2 evaluated:1 greenberger:2 theory:3 even:1 appear:2 anton:1 zhang:1 expressed:1 cell:3 above:6 expresses:1 ground:1 consisting:3 ˆn:2 coefficient:1 edited:3 evolving:1 here:9 atoms:1 behaviour:3 relaxation:1 path:1 equations:3 change:1 obtained:6 search:1 exemplified:1 study:7 vectors:1 p2:1 resulting:1 sw7:1 succesive:1 makes:3 useful:2 griffiths:1 scales:2 outcomes:1 apply:1 planck:1 kobayashi:1 diagonality:2 tn:1 takes:1 would:4 prove:2 probabilities:7 positive:2 negative:1 properties:2 calculation:1 therefore:2 taken:2 survive:1 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quant-ph9512027.txt |@word limited:2 interference:3 yellow:1 integrity:1 forget:1 relationships:1 whose:2 under:2 ontological:2 worth:2 summarizes:1 risk:1 every:2 conception:1 bringing:1 vast:1 solution:2 vector:2 guiding:14 ups:1 force:4 second:1 even:15 established:2 incompatible:2 specification:1 selected:1 contributed:1 above:4 supplies:1 told:1 evolving:2 simultaneously:2 notions:1 men:1 equals:1 here:10 refinement:1 path:1 quark:1 obtained:3 approaches:1 reports:3 stressed:1 suitable:1 criticism:1 divide:1 spooky:1 plenum:1 highly:1 brought:1 visible:1 moral:1 stern:1 unit:1 indeterministic:2 inevitable:1 definiteness:1 noting:1 call:1 therefore:5 until:2 ascribe:1 odinger:19 aware:3 excellent:2 must:22 me:8 word:9 room:1 pursue:1 setup:1 work:7 theories:3 concepts:2 my:9 example:11 indicated:1 give:2 relativistic:2 involve:1 indifferent:1 absolute:2 hoc:1 turn:3 provide:6 feature:3 how:13 significance:1 answer:1 ordinary:5 description:8 replacing:1 reconciled:1 after:4 wrong:5 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quant-ph9601003.txt |@word ibid:1 consider:12 illustrates:1 caused:1 magnetic:12 global:3 rod:10 results:13 reformulating:1 existing:2 four:3 scalar:2 computation:3 parameterization:3 obtaining:1 1p3:1 denotes:3 contributions:4 cases:2 inferences:1 excludes:1 inverse:1 depend:1 undistorted:1 equivalence:10 ρs:32 extraneous:1 charge:2 monotonically:1 indicate:1 excluded:1 under:5 suffered:2 include:2 presentation:1 cm2:1 conjecture:2 presently:1 favour:3 alternatives:17 peaks:1 conjectured:2 relatively:1 distant:1 wave:25 electron:1 every:3 anywhere:1 experimentally:1 difference:2 deformations:1 condition:11 preuss:1 entire:1 speed:1 presented:2 deficient:1 cause:1 presumably:1 particular:4 solution:8 large:9 solved:1 convenience:2 adjust:1 phase:1 progress:1 recall:1 small:9 relation:3 unifying:1 setup:1 configurations:2 application:1 encloses:1 expanded:1 force:2 periodicity:1 mτ:1 consistent:4 estimates:3 direct:5 modified:1 approximation:1 intricate:1 imply:2 enclosed:3 pass:2 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quant-ph9601004.txt |@word replacing:1 limited:1 japan:1 consider:6 chain:8 represent:1 rev:8 varying:3 alternatives:7 results:11 projected:1 baby:1 mile:1 entropy:1 computation:2 foundations:1 consists:5 follow:1 research:2 contributions:1 φk2:4 gr:1 extra:1 whose:3 certainly:1 maximally:3 depend:3 superpositions:1 4ns:1 re:1 alamos:1 concerned:2 deterministic:5 tr:23 spirit:1 tn:5 charge:2 icx:1 restriction:2 tk:3 under:2 dλ2:1 include:1 stark:1 γf:1 norm:1 case:7 global:1 amplitudes:2 string:3 advantage:1 very:23 dynamic:1 percival:1 choice:2 worst:1 underscore:1 summarized:1 vastly:1 little:1 exact:8 neighbouring:1 condition:6 paz:2 entire:1 tokyo:1 obvious:1 unlike:1 level:2 did:1 positions:2 who:1 integrating:2 macroscopically:3 t0:2 t1:5 large:35 commute:3 interchanging:1 succession:1 small:10 eigenvalues:4 barbara:2 ρk:3 programme:3 enjoy:1 strongly:2 averaged:1 grateful:2 consistent:5 coefficient:1 qmw:1 split:1 approximation:4 second:5 evaluated:4 further:3 copenhagen:1 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quant-ph9601009.txt |@word monte:1 code:1 calculation:1 canonical:1 abstract:1 computer:1 edu:1 quantum:1 technology:1 withdrawn:1 ground:1 conventional:1 statistics:1 carlo:1 when:1 state:1 been:1 contained:1 caltech:1 quant:1 grand:1 bosons:1 ph:1 occupation:1 evaluation:1 consistent:1 mar:1 march:1 theory:1 trapped:1 error:1 corrected:1 california:2 institute:1 arxiv:1 david:1 politzer:2 paper:2 relied:1 hence:1 original:1
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quant-ph9601011.txt |@word consider:1 rev:6 jmm:1 rod:1 focus:1 four:1 scalar:2 obtaining:1 issues:1 whose:2 depend:1 comunidad:1 ıa:1 finally:2 alvarez:1 present:1 under:5 include:1 worth:1 norm:2 ın:2 p2:12 belonging:1 invariable:1 esa:2 orthogonal:4 very:1 translations:4 account:1 espacial:1 results:2 electron:2 condition:4 leads:1 presented:1 irreducible:3 solution:2 travels:1 item:1 convenience:1 vector:5 minimal:1 recall:2 indices:1 inertial:2 programme:1 spinorial:1 force:1 dealing:1 consistent:3 elegant:1 second:4 dynamics:1 theories:1 canonical:9 even:2 lesser:1 what:1 brackets:1 giving:2 sum:1 reaching:1 remain:1 uniform:1 current:1 version:1 above:7 new:4 method:1 respectively:1 loose:1 component:1 here:4 behaviour:1 possibility:1 xν:2 galileo:3 path:1 along:3 strong:1 equations:5 change:1 instituto:1 antisymmetric:1 algebra:1 study:1 vectors:1 approaches:1 exiting:1 simultaneous:1 poisson:3 action:6 implement:2 jackiw:2 composed:1 formulated:1 forbid:1 expect:1 total:2 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quant-ph9601017.txt |@word yamaguchi:1 limited:1 writings:2 customary:2 consider:6 addition:1 priori:1 both:4 concern:2 results:5 pictures:1 leads:1 flexible:1 concept:7 entropy:1 consists:2 sci:1 expressions:1 decisions:2 centers:1 localized:4 compact:1 whose:6 certainly:1 amplification:6 clarification:1 granting:1 graph:1 description:7 tu:1 passage:1 uniqueness:1 investigation:1 device:1 tk:5 stable:1 connecting:1 analogous:1 circumstances:3 summarizes:1 division:4 global:1 dowker:1 already:2 orthogonal:1 very:8 alternatives:2 p0i:1 continues:1 misunderstanding:1 stipulate:1 wave:8 denoted:1 wavy:1 every:1 additional:1 decide:2 remarks:1 telling:1 unlike:1 emphasized:3 difference:3 encounter:1 regions:2 incoherent:1 presented:2 did:1 positions:1 nucl:1 try:1 discrete:2 spaces:4 demonstrated:1 section:2 indices:1 gauge:1 inspection:1 challenge:1 histories:4 governing:1 application:1 strongly:2 approximately:1 force:1 version:1 findings:1 consistent:3 among:1 direct:1 fusion:1 jump:1 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quant-ph9601018.txt |@word ibid:1 monte:1 partial:1 consider:4 pointing:1 induces:1 varying:1 results:3 four:3 comments:1 computation:8 obtaining:1 sci:1 faster:1 assembled:1 compact:1 whose:1 depend:1 calculate:2 paris:1 graph:2 concerned:1 characterises:1 factoring:3 environment:13 topic:1 does:1 scrambled:1 th:3 lore:1 details:1 presentation:1 worth:1 norm:1 division:1 random:2 amplitudes:5 worse:1 evolves:1 far:2 role:2 choice:1 coprime:1 twice:1 affect:1 difference:2 minute:1 ibm:1 illustrated:4 level:1 uncovering:1 large:3 discrete:8 vector:6 small:4 seminumerical:1 optics:1 equation:1 upper:1 smaller:4 slower:1 periodicity:7 deutsch:4 b23:1 direct:1 pulse:1 approximation:7 second:1 interval:1 further:1 dynamics:2 estimated:2 carlo:1 substitute:1 even:2 employ:1 errors:2 plays:2 stands:1 rate:1 sum:6 selected:3 brief:1 expressed:3 version:3 goes:1 chaleur:1 consisting:1 satisfy:2 edited:1 full:1 degree:3 respectively:1 equals:1 here:4 atoms:2 desired:1 operating:3 others:1 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