On time as a quantum observable canonically conjugate to energy

A number of studies on time as a quantum observable canonically conjugate to energy, with reference to systems with continuous and discrete energy spectra, are briefly reviewed in this minimal-mathematics methodological note. The results of and prospects for the time analysis of quantum processes using time as a quantum observable are examined.

PACS: 03.65.Ca, 03.65.Xp (all)
DOI: 10.3367/UFNe.0181.201108d.0859
URL: https://ufn.ru/en/articles/2011/8/c/
Web of Science

000298410800003
Scopus

2-s2.0-81255147290
ADS NASA

2011PhyU...54..829O
Citation: Olkhovsky V S "On time as a quantum observable canonically conjugate to energy" Phys. Usp. 54 829–835 (2011)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 1st, December 2009, revised: 5th, July 2010, accepted: 16th, June 2011

Оригинал: Ольховский В С «О времени как квантовой наблюдаемой, канонически сопряжённой энергии» УФН 181 859–866 (2011); DOI: 10.3367/UFNr.0181.201108d.0859

References (98) Cited by (15) Similar articles (20) ↓

V.S. Olkhovsky “On the multiple internal reflections of particles and phonons tunneling in one, two, or three dimensions” Phys. Usp. 57 1136–1145 (2014)
A.A. Logunov “The theory of the classical gravitational field” Phys. Usp. 38 179–193 (1995)
V.D. Krivchenkov “Generalized coordinates in quantum mechanics” Sov. Phys. Usp. 24 860–863 (1981)
V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory” Phys. Usp. 50 1217–1238 (2007)
L.A. Vainshtein “Propagation of pulses” Sov. Phys. Usp. 19 189–205 (1976)
V.I. Tatarskii “Example of the description of dissipative processes in terms of reversible dynamic equations and some comments on the fluctuation-dissipation theorem” Sov. Phys. Usp. 30 134–152 (1987)
N.N. Rosanov “Antilaser: resonance absorption mode or coherent perfect absorption?” Phys. Usp. 60 818–821 (2017)
M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting plate” Phys. Usp. 53 595–609 (2010)
S.G. Karshenboim “New recommended values of the fundamental physical constants (CODATA 2006)” Phys. Usp. 51 1019–1026 (2008)
I.O. Zolotovskii, R.N. Minvaliev, D.I. Sementsov “Dynamics of frequency-modulated wave packets in optical guides with complex-valued material parameters” Phys. Usp. 56 1245–1256 (2013)
T.I. Kuznetsova “On the phase retrieval problem in optics” Sov. Phys. Usp. 31 364–371 (1988)
V.L. Ginzburg “The nature of spontaneous radiation” Sov. Phys. Usp. 26 713–719 (1983)
A.N. Pavlov, V.S. Anishchenko “Multifractal analysis of complex signals” Phys. Usp. 50 819–834 (2007)
M.V. Lebedev, O.V. Misochko “On the question of a classical analog of the Fano problem” Phys. Usp. 65 627–640 (2022)
V.M. Rozenbaum, I.V. Shapochkina, L.I. Trakhtenberg “Quantum particle in a V-shaped well of arbitrary asymmetry. Brownian motors” Phys. Usp. 67 1046–1055 (2024)
S.P. Kulik, S.N. Molotkov “Relativistic quantum key distribution between stationary objects based on coherent states” Phys. Usp. 69 (10) (2026)
B.B. Kadomtsev “Classical and quantum irreversibility” Phys. Usp. 38 923–929 (1995)
V.P. Demutskii, R.V. Polovin “Conceptual problems in quantum mechanics” Sov. Phys. Usp. 35 (10) 857–896 (1992)
V.P. Bykov, V.I. Tatarskii “Perturbation theory for resolvents as applied to problems in radiation theory” Sov. Phys. Usp. 34 (2) 167–184 (1991)
Yu.M. Tsipenyuk “Zero point energy and zero point oscillations: how they are detected experimentally” Phys. Usp. 55 796–807 (2012)

The list is formed automatically.