Abstract
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.
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Carbonell, R.G., McCoy, B.J. Tunneling and transport problems for a quantum mechanical Brownian particle. J Stat Phys 21, 301–311 (1979). https://doi.org/10.1007/BF01011472
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DOI: https://doi.org/10.1007/BF01011472