Methodological notes

On time as a quantum observable canonically conjugate to energy

Institute for Nuclear Research of National Academy of Sciences Ukraine, prosp. Nauki 47, Kiev, 30650, Ukraine

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.

Fulltext pdf (185 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0181.201108d.0859
PACS: 03.65.Ca, 03.65.Xp (all)
DOI: 10.3367/UFNe.0181.201108d.0859
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, 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 (14) Similar articles (20) ↓

  1. V.S. Olkhovsky “On the multiple internal reflections of particles and phonons tunneling in one, two, or three dimensions57 1136–1145 (2014)
  2. A.A. Logunov “The theory of the classical gravitational field38 179–193 (1995)
  3. N.N. Rosanov “Antilaser: resonance absorption mode or coherent perfect absorption?60 818–821 (2017)
  4. V.I. Tatarskii “Example of the description of dissipative processes in terms of reversible dynamic equations and some comments on the fluctuation-dissipation theorem30 134–152 (1987)
  5. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting plate53 595–609 (2010)
  6. V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory50 1217–1238 (2007)
  7. V.D. Krivchenkov “Generalized coordinates in quantum mechanics24 860–863 (1981)
  8. G.S. Golitsyn “A N Kolmogorov's 1934 paper is the basis for explaining the statistics of natural phenomena of the macrocosm67 80–90 (2024)
  9. G.T. Zatsepin, Yu.A. Nechin, G.B. Khristiansen “Use of the magnetic induction of iron in cosmic-ray and high-energy physics30 1007–1008 (1987)
  10. L.A. Vainshtein “Propagation of pulses19 189–205 (1976)
  11. I.O. Zolotovskii, R.N. Minvaliev, D.I. Sementsov “Dynamics of frequency-modulated wave packets in optical guides with complex-valued material parameters56 1245–1256 (2013)
  12. V.E. Antonov “A rule for a joint of three boundary lines in phase diagrams56 395–400 (2013)
  13. S.A. Afanas’ev, D.I. Sementsov “Energy fluxes during the interference of electromagnetic waves51 355–361 (2008)
  14. G.S. Golitsyn “Demonstrativeness of using energy rather than mass as the unit of measure for a number of problems in physics, mechanics, and geophysics51 723–725 (2008)
  15. Yu.L. Klimontovich “Relative ordering criteria in open systems39 1169–1179 (1996)
  16. M.Ya. Agre “Multipole expansions in magnetostatics54 167–180 (2011)
  17. A.A. Shatskiy, I.D. Novikov, N.S. Kardashev “The Kepler problem and collisions of negative masses54 381–385 (2011)
  18. A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structures54 281–290 (2011)
  19. Yu.M. Tsipenyuk “Zero point energy and zero point oscillations: how they are detected experimentally55 796–807 (2012)
  20. B.A. Klumov “On melting criteria for complex plasma53 1053–1065 (2010)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions