Wave-Function
Collapse in Quantum Mechanics| Wave-Function
Collapse in Quantum Mechanics |
In General > s.a. classical
limit of quantum theory.
* Idea: When a
quantum measurement is performed, and a certain eigenvalue of the
corresponding operator observed, the wave function "suddenly" turns into a
corresponding eigenvector; a.k.a. quantum-state reduction.
* "Reality": Is
this a physical process, or is it just related to our knowledge and
description of the system? The results on non-local correlations in moving
frames make it more difficult to consider the projection postulate
as a compact description of real collapses of the wave function.
> Related topics:
see collapse as a dynamical process
[including state recovery]; decoherence;
locality and localization; quantum
experiments and measurement.
> Online resources:
see SEP page.
And Relativity, Covariant Form > s.a. causality
violations.
* Status: Some
relativistic models entail excitation of nuclear states which exceeds that
of experiment.
* And causality:
Despite some claims, it is well known that the process of wave packet
reduction cannot be used for superluminal communication.
* Hellwig-Kraus
reduction: The wave function is collapsed along the boundary of the
past of the measurement.
@ General references: Aharonov & Albert PRD(81)
[non-local measurements without violating causality]; Mielnik FP(90)
[collapse cannot be consistently introduced]; Pearle in(90),
in(92);
Finkelstein PLA(00)
[projection]; Ghirardi qp/00;
Srikanth qp/01,
Gambini & Porto PLA(02)qp/01,
NJP(03)
[covariant]; Zbinden et al PRA(01)
[non-local correlations in moving frames]; Myrvold SHPMP(02)
[compatible]; Socolovsky NCB(03);
Byun FP(04);
Jadczyk AIP(06)qp;
Blood a1004
[relativistic consistency]; Wen a1008
[and path integrals]; da Silva et al IJMPB(13)-a1012
[observer independence]; Lin AP(12)-a1104
[atom + quantum field model]; Bedingham et al JSP(14)-a1111; Ohanian a1703 [past-light cone collapse].
@ For quantum field theory: Bedingham JPA(07),
FP(11)
[stochastic model].
@ Relativistic GRW mechanism: Tumulka JSP(06)qp/04,
AIP(06)qp,
FP(07)qp/06;
Conway & Kochen FP(06)
[not possible], FP(07)qp
[reply to comments].
References > s.a. axioms
[projection postulate];
many-worlds interpretation; quantum
information (transfer).
@ I: news pw(07)aug
[for light, step-by-step].
@ General: Bussey PLA(84);
Home & Whitaker PLA(86),
comment Hnizdo PLA(87);
Pearle in(86);
Damnjanović PLA(88)
[as phase transition]; Home & Whitaker PLA(88);
Krips BJPS(88);
Van Kampen PhyA(88);
Ballentine FP(90)
[projection postulate], PRA(91)
[criticism of some thories]; Gottfried in(90);
Namiki et al PLA(94);
Fioroni & Immirzi gq/94;
Berg hp/96
[spontaneous, phenomenological]; Kadomtsev & Kadomtsev SPU(96)
[rev]; Ozawa AP(97)qp,
qp/97-conf,
FdP(98)qp/97
[operational]; Nakhmanson qp/02
[local-realistic]; Zurek PRA(07)qp/07
[information transfer and origin of quantum jumps]; Socolovsky a0806
[geometrical point of view]; Omn�s a0911
[derivation of reduction], FP(11)-a1105
[and decoherence]; Hegerfeldt & Sala Mayato PRA(12)-a1111
[L�ders vs von Neumann reduction]; 't Hooft a1112;
H�j�ček a1311.
@ Stochastic: Di�si JPA(88);
Jibu et al PLA(90);
Brody & Hughston JMP(02)
[as simulation], JPA(06)qp/05
[quantum noise], JMP(05)
[finite-time]; Brusheim-Johansson & Hansson qp/06
[chaotic].
@ Not needed, not physical: Fox AJP(83)jan
[joint probability operators]; Keller AJP(90)aug
[and probabilities]; Zeh PLA(93);
Griffiths PRA(02)
[resolving paradoxes]; Schlosshauer AP(06)qp/05
[evidence]; Blood a0808
[difficulties of collapse view]; Wechsler a1002
[the other branches don't disappear]; Stoica a1607;
> s.a. interpretations
[statistical].
@ Lattice, numerical: Dowker & Henson JSP(04)qp/02;
Dowker & Herbauts CQG(04)qp,
FPL(05)qp/04
[causal, 1+1 null lattice]; Bassi & Ippoliti PRA(04)qp/03
[2-level system]; Gao PRS(13)-a1304
[discrete energy-conserving model].
@ Unitarity: Zurek PRA(13)-a1212
[and repeatability of measurements]; Moldoveanu a1305
[unitary realization].
@ Conceptual: Landsberg & Home AJP(87)mar
[and the statistical interpretation]; Thaheld BioSys(05)qp
[and
consciousness]; Svetlichny a1104
[and the subjective world]; Cowan & Tumulka a1307
[epistemology]; Acacio de Barros & Oas a1609 [and
consciousness]; > s.a. Individuality.
@ And measurement: Gambini qp/98;
Gangat PRA(13)-a1303
[observing controlled quantum state collapse]; > s.a. types
of measurement [continuous].
@ Models: Bussey PLA(93)
[phonon model]; Assing & Hilbert a1405 [damped, driven]; Ho et al NJP(16)-a1504
[classically driven mechanical oscillator].
@ Tests of collapse models: Bahrami et al PRL(14)
[non-interferometric].
@ Related topics: Clarke IJTP(73)
[quantum theory with smooth collapse]; Scully et al PRP(78)
[Stern-Gerlach example]; Pearle FP(82)
[and the gambler problem]; Cini & L�vy-Leblond ed-90
[no reduction]; Gisin PLA(91)
[entangled states and non-locality]; Di�si cm/94
[permanent]; Suarez PLA(98)qp
[simultaneity]; Isham IJTP(06)qp/05,
IJTP(06)
[topos
perspective]; Yun a1310
[collapse without external observer]; Samarin a1507
[non-mechanical nature of collapse].
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