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On the quantum langevin equation

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Abstract

The quantum Langevin equation is the Heisenberg equation of motion for the (operator) coordinate of a Brownian particle coupled to a heat bath. We give an elementary derivation of this equation for a simple coupled-oscillator model of the heat bath.

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Author notes

  1. G. W. Ford

    Present address: Department of Physics, University of Michigan, 48109, Ann Arbor, Michigan

Authors and Affiliations

  1. Department of Physics, University of Southern California, 90007, Los Angeles, California

    G. W. Ford

  2. Department of Mathematics, University of Southern California, 90007, Los Angeles, California

    M. Kac

Authors
  1. G. W. Ford
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  2. M. Kac
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Deceased.

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Ford, G.W., Kac, M. On the quantum langevin equation. J Stat Phys 46, 803–810 (1987). https://doi.org/10.1007/BF01011142

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  • DOI: https://doi.org/10.1007/BF01011142

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