In General (de Broglie-Bohm) > s.a. CPT; histories and phase
space formulation; Kemmer
Equation.
* Motivation: A realistic,
deterministic theory, with no measurement problem; Unjustly neglected by most
authors.
* Idea: The world is
described by (
, X),
where X are positions
etc that particles actually have, and the evolution is guided by
through
a "quantum potential"; A physical
system follows the configuration space trajectory determined by p =
S,
with p the momentum and S the phase of the wave function
,
which evolves according to the Schrödinger equation of quantum mechanics.
* History: Has been used as motivation by Bell for his work (but also
as underpinning of Sarfatti's paraphysics).
@ I: in Gardner 81; Albert SA(94)may.
@ Intros, reviews:
Passon qp/06-in;
Singh a0805-in.
@ General references: de Broglie CRAS(26);
Bohm PR(52), PR(52), & Vigier PR(54), & Bub
RMP(66),
et al PRP(87);
Nelson PR(66);
de Broglie FP(70);
Bell FP(82);
Lochak FP(87);
Dürr et al JSP(92)qp/03;
Valentini PhD(92); Rupertsberger qp/98;
Geiger et al qp/99, qp/99/PLA;
Brown & Hiley qp/00;
Allori & Zanghì
qp/01-in,
IJTP(04);
Baker-Jarvis & Kabos PRA(03);
Tumulka AJP(04)qp [dialogue];
Passon qp/04 [addressing
criticisms]; Marchildon SHPMP(06)qp/05
[compared to ether]; Struyve qp/05-PhD;
Ord CSF(05)
[and Copenhagen]; Nikolic AJP(08)phy/07 [Bohr
and Bohm, hypothetical]; Rusov a0804.
@ Criticisms:
Zeh FPL(99)qp/98; Anandan
& Brown FP(99)
[action and reaction].
@ Hamiltonian form: Holland NCB(01).
@ Books: in de Broglie 60, 63; in Bell 87; Bohm & Hiley 93; Holland
93; Cushing et al ed-96.
Special Topics > s.a. decoherence; experiments
in quantum mechanics;
hidden variables; measurement; photon; probabilities;
realism.
* And standard quantum mechanics: Piliot
wave theory predictions are equivalent to those of standard quantum mechanics,
for any question or problem that is well posed in both interpretations, if
one
assumes
that
the
probability
density for the system is the equilibrium one, |
|2.
@ Same as standard quantum mechanics: Marchildon qp/00;
Golshani & Akhavan qp/01;
Struyve & De
Baere qp/01-in;
Nikolic qp/03.
@ Inequivalent to standard quantum mechanics: Schmidt & Selleri FPL(91) [triple slit];
Neumaier qp/00 [different
correlations]; Ghose
qp/01 [incompatible].
@ Relativistic / Lorentz invariance: Squires qp/95;
Valentini PLA(97);
Dürr
et al PRA(99)qp/98;
Shojai & Shojai PS(01)qp [also
curved spacetime]; Nikolic qp/03 [the
only consistent one in first quantization], FPL(05)qp/04
[relativistic quantum mechanics], qp/05-in,
qp/06 [many-fingered
time], ht/06-in
[and quantum field theory].
@ Similar proposals: Deotto & Ghirardi FP(98)qp/97;
Brandt et al PLA(98)qp;
Potvin qp/99;
Kamalov qp/02, qp/02 [and
gravity]; Sutherland qp/06 [causally
symmetric version].
@ Probabilities: Bozic & Maric PLA(91)
[and interferometers]; Galvan FP(07)qp/06 [vs
typicality],
a0711 ["imprecise
probabilities"];
Callender SHPMP(07)
[emergence and interpretation]; Nikolic a0804.
@ Mixed states: Dürr et al FP(05)qp/03,
Maroney FP(05)qp/03 [density
matrices].
@ Trajectories: Teufel & Tumulka CMP(05)mp/04 [global
existence]; Römer et al JPA(05)qp [and
scattering]; Goldfarb et al qp/06 [complex
action]; Matzkin & Nurock qp/06; > s.a.
path integrals.
@ Numerical
methods:
Deckert et al qp/07; Coffey
et al a0807 [Monte Carlo generation of trajectories]
@ Other topics: Sanz JPA(05)qp/04 [and
"quantum
fractals"]; Aharonov et al PS(04)qp [time
vs ensemble averages]; Potvin qp/05 [and
density of states]; Goldfarb et al a0706; > s.a. collapse,
mind, particles,
superselection rules; topology.
Specific Systems > s.a. approaches
to quantum gravity; dirac
fields; quantum
black holes; quantum oscillators; quantum
field theory.
@ Ordinary quantum mechanics: Stomphorst PLA(02)
[potential wells, transmission / reflection]; Hyman et al JPA(04)
[discrete operators]; Mousavi & Golshani a0804 [2-level
atom in classical field]; Matzkin a0806 [square billiard, classical-quantum correspondence].
@ Solutions: Berndl et al CMP(95); Frisk PLA(97) [types]; Appleby FP(99)qp [isolated particle].
@ In curved spacetime:
Squires PLA(94)
[mixed states and closed timelike curves]; Tumulka a0708 [with
singularities].
@ Quantum cosmology: Vink NPB(92);
Horiguchi MPLA(94);
Blaut & Kowalski-Glikman
CQG(96)gq/95,
gq/96; Shtanov PRD(96);
Valentini in(96); Pinto & Santini PRD(99)gq/98,
GRG(02)gq/00;
Pinto-Neto gq/04-in;
Pinto-Neto FP(05)
[rev]; Shojai & Shirinifard IJMPD(05)gq
[classical limit]; Shojai & Shojai IJMPD-a0708 [in
lqc]; > s.a. cosmological effects of quantum
gravity [inflation].
Effects > s.a. Klein
Paradox; semiclassical quantum mechanics [including
macroscopic objects]; quantum
effects [arrival time,
tunneling time].
* And experiment: It
is useful to look for effects for which standard quantum mechanics makes no
prediction whereas the pilot wave theory does, such as tunneling times.
@ And non-locality: Rice AJP(97);
Khrennikov qp/03,
Toyama & Matsuura PS(06)
[correlations]; Sanz & Miret-Artes qp/07.
@ Approach to equilibrium probabilites: Bohm PR(53); Valentini PLA(91)
[subquantum H-theorem],
PLA(91);
Potel et al PLA(02);
Valentini & Westman PRS(05)qp/04 [simulations];
Goldstein & Struyve JSP(07)-a0705 [uniqueness
of equilibrium distribution].
@ And interference: Philippidis NCB(79)
[quantum potential]; Guay & Marchildon JPA(03)qp [2-particle].
@ And non-quantum systems: Valentini PLA(04)
[anomalous statistical properties].
@ Chaos: Wisniacki et al EPL(03)qp [classically
chaotic]; Efthymiopoulos & Contopoulos JPA(06);
Efthymiopoulos et al a0709-JPA [transition to chaos]; > s.a. chaotic
systems.
@ Experiments, tests: Vigier LNC(80); Bohm
et al Nat(85)may [delayed choice]; Croca FP(87),
et al FPL(88);
Wang et al PRL(91)
[against]; Utsuro & Ignatovich PLA(98)
[neutron]; Smith qp/98 [for];
Golshani & Akhavan qp/00,
qp/01, JPA(01)qp/01, qp/01;
Ghose qp/01;
Struyve & De
Baere qp/01-in,
reply Ghose qp/02;
Brida et al JPB(02)qp [results];
d'Espagnat
qp/03 [and
Schrödinger's cat]; Gondran & Gondran qp/06/PRA
[identical particles].
@ Effects of empty waves: Hardy PLA(92); Vaidman FP(05)qp/03.
@ Related topics: Brown et al PLA(99)
[identical particles]; Bedard
PhSc(99)
[material objects]; Riggs JPA(99)
[energy-momentum transfer]; Appleby FP(99)qp [decoherence];
Barrett qp/00-in,
PhSc(00)
[surreal trajectories]; Nogami et al PLA(00)qp [decay];
Butterfield in(04)qp/02 [Hamilton-Jacobi];
Dürr et al qp/03 [observables];
Valentini a0804,
a0805 [and cosmology];
Tumulka a0806 [can an electron reach speed c?]; > s.a. quantum
technology [teleportation].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
5 jul 2008