Journal of Statistical Physics

, Volume 21, Issue 3, pp 301–311 | Cite as

Tunneling and transport problems for a quantum mechanical Brownian particle

  • R. G. Carbonell
  • B. J. McCoy


The Kanai model of a quantum mechanical Brownian particle is used to examine the effect of interactions between particles and their environment. Random forces cause the thermalization of the particle. Reflection of a particle from a step barrier is analyzed. The problem of tunneling of the Brownian particle through a rectangular barrier is solved. Finally, a solution for a Brownian particle in a box is presented.

Key words

Quantum mechanical friction tunneling Brownian motion transport energy dissipation 


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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • R. G. Carbonell
    • 1
  • B. J. McCoy
    • 1
  1. 1.Department of Chemical EngineeringUniversity of CaliforniaDavis

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