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; 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 a1111.
@ 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]; Omnès a0911 [derivation of reduction], FP(11)-a1105 [and decoherence]; Hegerfeldt & Sala Mayato PRA(12)-a1111 [Lüders vs von Neumann reduction]; 't Hooft a1112.
@ Stochastic: Diósi 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]; > 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].
@ Related topics: Clarke IJTP(73)
[quantum theory with smooth collapse]; Scully et al PRP(78)
[Stern-Gerlach example]; Pearle FP(82)
[and gambler problem]; Landsberg & Home AJP(87)mar
[and statistical interpretation]; Cini & Lévy-Leblond
ed-90 [no reduction]; Gisin PLA(91)
[entangled states and non-locality]; Bussey PLA(93)
[phonon model]; Diósi cm/94 [permanent];
Gambini qp/98 [and
measurement];
Suarez PLA(98)qp [simultaneity];
Isham IJTP(06)qp/05,
IJTP(06)
[topos
perspective]; Thaheld BioSys(05)qp [and
consciousness]; Svetlichny a1104 [and the subjective world]; Zurek a1212 [unitarity and repeatability of measurements].
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apr 2013