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Journal of Statistical Physics

, Volume 16, Issue 1, pp 113–116 | Cite as

A note on the derivation of the Schrödinger-Langevin equation

  • Kunio Yasue
Notes

Abstract

It is shown that the dynamics of open systems interacting with a chaotic environment can be formulated in a quantum mechanical scheme by means of Nelson's stochastic quantization procedures. As a result, a wave equation for a particle in the chaotic environment is found to be of the Schrödinger-Langevin type associated with an additional nonlinear and random potential.

Key words

Stochastic quantization Schrödinger-Langevin equation Quantum mechanics of open systems 

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References

  1. 1.
    S. Chandrasekhar,Rev. Mod. Phys. 15:1 (1943).Google Scholar
  2. 2.
    M. D. Kostin,J. Chem. Phys. 57:3589 (1972);J. Stat. Phys. 12:145 (1975).Google Scholar
  3. 3.
    E. Nelson,Phys. Rev. 150:1079 (1966).Google Scholar
  4. 4.
    F. Guerra,J. Physique Suppl. Colloque 34, Cl-95 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • Kunio Yasue
    • 1
  1. 1.Department of PhysicsNagoya UniversityNagoyaJapan

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