Quantum
Mechanical Effects| Quantum
Mechanical Effects |
In General > s.a. collapse
of the wave function; decoherence; quantum
measurement; tunneling.
* Applications: Superconductivity,
superfluidity, lasers, interferometry, etc; > s.a. quantum
technology.
@ Operations on states: Buscemi et al PRA(03)qp [realizations].
State Evolution > s.a. arrow
of time; atomic physics; Ehrenfest
Theorem;
Friedrichs Model; quantum
states;
quantum systems.
* Decay of unstable states: The
time evolution of quantum states for unstable particles can be divided
into
three domains, the very short time where Zeno's paradox is relevant,
the intermediate interval where the exponential decay holds more or less,
and the very long time where the decay is governed by a power law.
* Non-exponential decay:
1957, Khalfin proved that for large t the amplitude tends to zero
more slowly than any exponential function of t; 1997, observed in tunneling
of trapped Na ions.
@ General references: Weigert
PRL(00)qp/99 [ito
expectation values]; Oppenheim & Reznik PRA(04)qp/03 [and
prob/info]; Mizel PRA(04)
[ground state]; Evnin a0805-in [across singularities].
@ Decay: Fonda et al RPP(78);
Jakobovits et al AJP(95)
[exponential]; Benatti & Floreanini
PLB(98)ht [of
open systems]; Rotter a0710 [and
resonance, Feshbach projector
description]; Courbage & Fathi PhyA(08) [decay probability distribution].
@ Decay, (non)-exponential:
Chiu et al PRD(77)
[and Zeno's paradox]; Peres AP(80);
Nakazato & Pascazio MPLA(95);
Wilkinson et al Nat(97)jun;
Jittoh et al PRA(05)qp/04;
Martorell et al a0709;
Exner RPMP(07);
Urbanowski a0806 [and cosmology].
@ Bohm-Gadella theory controversy: de la Madrid JPA(06)qp;
Gadella & Wickramasekara JPA(07),
a0707; de la Madrid JPA(07)-a0704;
Baumgärtel a0704;
de
la Madrid a0705.
@ Decay, other: Gurvitz & Marinov PLA(90)
[interference effects]; Belavkin & Staszewski
JMP(00)mp/05 [stochastic
semiclassical model]; Kofman & Kurizki
qp/01 [dynamical
control]; Klein & Nystrand PLA(03)
[wave function collapse test];
Agudov et al JPA(04)
[noise and delay]; Luo & Zhang LMP(05)
[survival amplitudes]; > s.a. particle
effects, zeno
effect.
@ Spreading: Damanik & Tcheremchantsev mp/05 [bounds,
application to Fibonacci operator].
@ State diffusion: Gisin & Percival JPA(92), JPA(93),
JPA(93);
Percival JPA(94);
Breuer & Petruccione JPA(98)
[relativistic], comm Diósi JPA(98)
reply JPA(98);
Percival & Strunz
JPA(98);
Buric JPA(07)
[geometry and dynamics]; > s.a. histories formulations.
@ Speed of evolution: Margolus & Levitin PhyD(98)qp/97;
Giovannetti et al PRA(03)qp/02 [and
subsystem entanglement]; Andrecut
& Ali IJTP(04);
Zielinski & Zych PRA(06)qp
[generalized bound]; Borrás et al PRA(06)qp [and
entanglement]; Bender et al PRL(07)qp/06 [no
maximum in PT-symmetric quantum mechanics]; Giri a0706 [lower
bound on time]; Bender a0712-in
[faster in non-hermitian quantum mechanics]; Kupferman & Reznik a0806 [for
mixed states].
@ Reversal of evolution: Hiller et al PRL(04) [and echo].
Time of arrival > s.a. Detectors [time
of occurrence]; Interference; modified
quantum mechanics;
time in quantum mechanics.
@ Operator: Aharonov & Bohm PR(61).
@ General references: Muga et al AP(95), SM(98)qp,
PLA(99)qp/98;
Blanchard & Jadczyk HPA(96)qp,
IJTP(98)qp/97, qp/97-in
[from added postulates]; Grot et al PRA(96)qp;
Aharonov et al PRA(98)qp/97;
Delgado PRA(98)qp/97,
PRA(99)qp/98, & Muga
PRA(97)qp;
Finkelstein PRA(99)qp/98;
Halliwell PTP(99)qp/98;
Oppenheim et al qp/98 [minimum
inaccuracy], PRA(99)qp/98;
Baute et al PRA(00)qp/99,
PRA(00)qp/99;
Kochanski & Wódkiewicz
PRA(99)qp;
León
et al PRA(01)qp/99;
Egusquiza & Muga
PRA(00)qp;
Galapon qp/00;
León qp/00;
Muga & Leavens PRP(00);
Leavens PLA(02);
Damborenea et al PRA(02)
[measurement-based]; Anastopoulos & Savvidou JMP(06)qp,
JMP(08)-a0706, Anastopoulos
JMP(08)-a0706
[probabilities and measurement]; Pazma & Vanko a0706 [and
detector model].
@ Relativistic: León JPA(97)qp/96;
Ruschhaupt JPA(02)
[free spin-1/2]; Wang & Xiong qp/06;
Leavens PLA(07).
@ And histories: Halliwell & Zafiris PRD(98)qp/97;
Egusquiza & Muga
PRA(00)qp [and
quantum Zeno effect]; Alonso et al qp/02 [Dirac e in
1+1].
@ And pilot wave: Leavens PRA(98); Grübl & Rheinberger JPA(02);
Kreidl et al JPA(03)
[without trajectories]; Ruggenthaler et al JPA(05)qp [and
Kijowski's framework].
@ Related topics: Aoki et al PRA(00)qp/99 [environments];
Alonso et al qp/02 [clocks].
Other Effects and Results > s.a. Adiabatic
Theorem; experiments [including tunneling]; types
of measurement [disturbance].
@ Paradoxes: Accardi in(84); Aharonov et al PLA(87);
Barut FP(92);
Boyle & Schafir qp/01 [N-box
paradox]
@ Time-related effects:
Aharonov
et al PRL(90)
[time translation machine];
Shegelski et al AJP(05)
[rod tipping time].
@ Retrocausation: Costa de Beauregard qp/98;
Suarez qp/98;
Wharton qp/98/AJP.
@ Quantum jumps: Greenstein & Zajonc AJP(95)
[time]; Belavkin &
Melsheimer QSO(96)qp/05 [stochastic
Hamiltonian model]; Brun PRL(97) [decoherence]; Stenholm & Wilkens
CP(97).
> Related topics:
see aharonov-bohm;
causality; dissipation;
formulations and foundations of
quantum mechanics; inertia; locality;
mirrors; pilot wave [including empty waves]; quantum
cosmology; quantum technology; Reflection; scattering;
semiclassical quantum mechanics;
superselection; theta
sectors; time in quantum mechanics;
topology; Transport;
uncertainties;
wave phenomena.
And Other Fields > see information; modified quantum mechanics [and relativity]; relationship with classical mechanics; spacetime; Supersymmetry.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
28 jun 2008