Journal of Statistical Physics

, Volume 41, Issue 3–4, pp 425–443 | Cite as

The crossover from classical to quantum regime in the problem of the decay of the metastable state

  • A. I. Larkin1
  • Yu. N. Ovchinnikov


The probability of the decay of the metastable state has been found as a function of viscosity and temperature. At low temperatures, a classical overbarrier transition changes to the quantum tunneling. At low viscosity in classical and transitive semiquantum region of temperatures a depopulation of the distribution function is significant. The distribution function is shown to satisfy the integral kinetic equation, the kernel of which equals the transition probability. The probability of transitions, induced by the red noise, with the frequency comparable to the transition frequency, is found.

Key words

Quantum noises decay probability crossover region depopulation of the distribution function 


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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • A. I. Larkin1
    • 1
  • Yu. N. Ovchinnikov
    • 1
  1. 1.The Landau Institute for Theoretical PhysicsMoscowUSSR

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