Wave
Function Collapse in Quantum Mechanics| Wave
Function Collapse in Quantum Mechanics |
In General > s.a. decoherence; locality [and
localization]; quantum
experiments and measurement.
* 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.
Dynamical, As a Physical Process > s.a. matter
phenomenology in quantum gravity; zeno
effect.
* And gravity: A wave
function collapses under the influence of gravity in a region where the matter
density
reaches a certain value (masses and lengths of the order of bacterial scales);
Gravity provides a
decoherence mechanism.
* GRW mechanism: Gives
a quantum theory without observers; In fact, two different ones by using either
the matter density ontology (GRWm) or the flash ontology (GRWf); Testable deviations
from quantum mechanics are known for both theories, but the difference is so
small that no decisive experiment has been performed (2007).
@ And gravity: Károlyhazy NC(66);
Penrose in(81), in(86); Károlyházy
in(85), et al in(86); Diósi PRA(89);
Ellis et al PLB(89);
Penrose GRG(96);
Fivel qp/97;
Anandan FP(99)gq/98;
Christian gq/98-in;
Melko & Mann gq/00 [D-dimensional
Schrödinger-Newton
equations]; Penrose
in(00);
De Filippo qp/00, qp/01;
De Filippo et al PhyA(03)qp [simulation];
Christian PRL(05)qp [test
with cosmic neutrinos]; Mureika PRD(06)
[and large extra dimensions]; Adler JPA(07)qp/06;
van Wezel et al a0706 [towards
an experimental test]; Salart et al PRL(08)-a0803 [and
Bell inequalities].
@ Spontaneous: Pearle PRA(89);
Pearle & Soucek FPL(89)
[path integral]; Ghirardi & Pearle in(90); Nicrosini & Rimini FP(90)
[stochastic processes in 
];
Squires PLA(91)
[without stochastic field]; Pearle qp/98-in, qp/98-in, qp/99-in,
PRA(99)qp,
FP(00)qp [and
conservation laws], PRA(04)qp/03 [energy-driven];
Hansson qp/00 [from
non-abelian non-linearity]; Bassi & Ghirardi
PRP(03)qp;
Bassi JPA(05)qp/04 [single
free particle]; Dowker & Herbauts FPL(05)qp/04
[without wave function]; Pearle PRA(05)qp [quasirelativistic
quasilocal model]; Lewis SHPMP(05)
[interpretation]; Morikawa & Nakamichi qp/05 [as
spontaneous symmetry breaking]; Pearle qp/06/JPA,
qp/06 [overview];
Bassi qp/07-in
[rev].
@ Spontaneous, topics: Squires PLA(91),
Pearle et al FP(99)qp/00 [and
radiation]; Jones et al FP(04)qp [constraints
on coupling, SNO experiment]; Bassi et al JPA(05)qp [and E non-conservation],
JPA(07) [and Hilbert space operator formalism].
@ Continuous, for quantum field theory: Tumulka PRS(06)qp/05 [GRW
for quantum field theory]; Diósi qp/06-in
[QED].
@ GRW mechanism: Ghirardi et al PRA(90);
Clifton & Monton BJPS(99),
Bassi & Ghirardi BJPS(99), BJPS(99)
[and enumeration principle]; Monton SHPMP(04)
[interpretation]; Allori et al qp/06 [and
pilot wave]; Vacchini JPA(07)
[GRW master equation and decoherence]; Frigg & Hoefer SHPMP(07)
[and probabilities]; Goldstein et al a0710 [testable
predictions]; Tumulka a0711 [ontology].
@ Objective collapse, and retina/brain: Georgiev
qp/02; Thaheld qp/06/PRA, qp/06.
And Relativity, Covariant Form
* Status: Some relativistic
models entail excitation of nuclear states which exceeds that of experiment.
* 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 qp/06-in.
@ For quantum field theory: Bedingham JPA(07)
[stochastic model].
@ Relativistic GRW: Tumulka JSP(06)qp/04, qp/06-in,
FP(07)qp/06;
Conway
& Kochen FP(06)
[not possible], qp/07 [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); Damnjanovic 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-in,
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].
@ 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)
[joint probability operators]; Keller AJP(90)
[and probabilities]; Zeh PLA(93);
Griffiths PRA(02)
[resolving paradoxes]; Schlosshauer AP(06)qp/05 [evidence];
> s.a. interpretations [statistical].
@ Time for collapse: Squires PLA(90); Pegg PLA(91); Zurek qp/03 ["decoherence
timescale"].
@ State recovery: Katz et al a0806.
@ 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].
@ 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)
[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].
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
2 jul 2008