Issues

 / 

1981

 / 

October

←  →

Methodological notes


Generalized coordinates in quantum mechanics

A prescription is proposed for the construction of quantum-mechanical operators on the basis of the classical Lagrangian function in generalized coordinates. Integrals of the motion and particular dynamical systems are considered.

Fulltext pdf (217 KB)
Fulltext is also available at DOI: 10.1070/PU1981v024n10ABEH004810
PACS: 03.65.Ca
DOI: 10.1070/PU1981v024n10ABEH004810
URL: https://ufn.ru/en/articles/1981/10/d/
Citation: Krivchenkov V D "Generalized coordinates in quantum mechanics" Sov. Phys. Usp. 24 860–863 (1981)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Кривченков В Д «Обобщенные координаты в квантовой механике» УФН 135 337–344 (1981); DOI: 10.3367/UFNr.0135.198110g.0337

Cited by (2) Similar articles (20) ↓

  1. V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory” Phys. Usp. 50 1217–1238 (2007)
  2. N.A. Vinokurov “Analytical mechanics and field theory: derivation of equations from energy conservation” Phys. Usp. 57 593–596 (2014)
  3. V.S. Olkhovsky “On time as a quantum observable canonically conjugate to energy” Phys. Usp. 54 829–835 (2011)
  4. 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)
  5. N.N. Rosanov “Antilaser: resonance absorption mode or coherent perfect absorption?” Phys. Usp. 60 818–821 (2017)
  6. I.G. Kaplan “The exclusion principle and indistinguishability of identical particles in quantum mechanics” Sov. Phys. Usp. 18 988–994 (1975)
  7. Ya.B. Zel’dovich “Scattering and emission of a quantum system in a strong electromagnetic wave” Sov. Phys. Usp. 16 427–433 (1973)
  8. A.I. Akhiezer, R.V. Polovin “Why IT IS impossible to introduce hidden parameters into quantum mechanics” Sov. Phys. Usp. 15 500–512 (1973)
  9. A.V. Belinsky “On David Bohm's 'pilot-wave' concept” Phys. Usp. 62 1268–1278 (2019)
  10. S.P. Efimov “Coordinate space modification of Fock's theory. Harmonic tensors in the quantum Coulomb problem” Phys. Usp. 65 952–967 (2022)
  11. V.L. Ginzburg “The nature of spontaneous radiation” Sov. Phys. Usp. 26 713–719 (1983)
  12. E.V. Shuryak “Stochastic trajectory generation by computer” Sov. Phys. Usp. 27 448–453 (1984)
  13. M.I. Shirokov “Signal velocity in quantum electrodynamics” Sov. Phys. Usp. 21 345–358 (1978)
  14. D.E. Vakman, L.A. Vainshtein “Amplitude, phase, frequency—fundamental concepts of oscillation theory” Sov. Phys. Usp. 20 1002–1016 (1977)
  15. 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)
  16. F.Ya. Khalili “Zero-point oscillations, zero-point fluctuations, and fluctuations of zero-point oscillations” Phys. Usp. 46 293–307 (2003)
  17. B.M. Bolotovskii, A.V. Serov “Special features of motion of particles in an electromagnetic wave” Phys. Usp. 46 645–655 (2003)
  18. B.B. Kadomtsev “Irreversibility in quantum mechanics” Phys. Usp. 46 1183–1201 (2003)
  19. A.I. Musienko, L.I. Manevich “Classical mechanical analogs of relativistic effects” Phys. Usp. 47 797–820 (2004)
  20. A. Loskutov “Dynamical chaos: systems of classical mechanics” Phys. Usp. 50 939–964 (2007)

The list is formed automatically.

© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions