Computational methods and algorithms

Cauchy problem for the quantum Liouville equation coupled with Poisson equation

M. N. Burtseva

Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: Existence and uniqueness of the weak solution of the quantum Liouville equation coupled with Poisson equation is proved. Representation of solution as a mathematical expectance of the trajectories of the random process is received.

Received: 04.03.1993

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