Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

There is No Quantum Regression Theorem

Journal Article · · Physical Review Letters
 [1];  [2]
  1. Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1120 (United States)
  2. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001 (United States)
The Onsager regression hypothesis states that the regression of fluctuations is governed by macroscopic equations describing the approach to equilibrium. It is here asserted that this hypothesis fails in the quantum case. This is shown first by explicit calculation for the example of quantum Brownian motion of an oscillator and then in general from the fluctuation-dissipation theorem. It is asserted that the correct generalization of the Onsager hypothesis is the fluctuation-dissipation theorem. {copyright} {ital 1996 The American Physical Society.}
OSTI ID:
286764
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
Country of Publication:
United States
Language:
English

Similar Records

Quantum tunneling in a dissipative system
Journal Article · Thu Oct 31 23:00:00 EST 1996 · Physical Review A · OSTI ID:388940

Non-Markovian dynamics of quantum systems. I. Formalism and transport coefficients
Journal Article · Fri Dec 31 23:00:00 EST 2004 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics · OSTI ID:20641347

Quadratic fluctuation-dissipation theorem for multilayer plasmas
Journal Article · Thu Dec 31 23:00:00 EST 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics · OSTI ID:295526