Tunneling and transport problems for a quantum mechanical Brownian particle
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 wordsQuantum mechanical friction tunneling Brownian motion transport energy dissipation
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