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Letters in Mathematical Physics

, Volume 4, Issue 2, pp 143–146 | Cite as

Schrödinger's variational method of quantization revisited

  • Kunio Yasue
Article

Abstract

Schrödinger's original quantization procedure is revisited in the light of Nelson's stochastic framework of quantum mechanics. It is clarified why Schrödinger's proposal of a variational problem led us to a true description of quantum mechanics.

Keywords

Statistical Physic Quantum Mechanic Group Theory Variational Method Variational Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Schrödinger, E., Ann. Physik 79, 361 (1926).Google Scholar
  2. 2.
    Yourgrau, W., and Mandelstam, S., Variational Principles in Dynamics and Quantum Theory, Pitman & Sons, London, 1960.Google Scholar
  3. 3.
    Nelson, E., Dynamical Theories of Brownian Motion, Princeton U.P., Princeton, 1967.Google Scholar
  4. 4.
    Nelson, E., Phys. Rev. 150, 1079 (1966).Google Scholar
  5. 5.
    Nelson, E., Bull. Amer. Math. Soc. 84, 121 (1978).Google Scholar
  6. 6.
    Nelson, E., ‘Connection between Brownian Motion and Quantum Mechanics’, talk given at the Einstein Symposium in Berlin, March 1979.Google Scholar
  7. 7.
    As one can see easily in Ref. 3, the vector \(\vec b\) depends on the probability distribution of the process \(\vec x(t,\omega ).\) Google Scholar
  8. 8.
    Yasue, K., J. Math. Phys. 20, 1861 (1979).Google Scholar
  9. 9.
    Holland, C.J., Commun. Pure Appl. Math. 30, 755 (1977).Google Scholar

Copyright information

© D. Reidel Publishing Company 1980

Authors and Affiliations

  • Kunio Yasue
    • 1
  1. 1.Département de Physique ThéoriqueUniversité de GenèveGenève 4Switzerland

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