Quadratic fermionic dynamics with dissipation


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Abstract

Gaussian solutions of the Cauchy problem for the GKS-L equation (in the Schrödinger picture) with quadratic fermionic generators are obtained. These Gaussian solutions are represented both as exponentials of quadratic forms in fermionic creation-annihilation operators and by their normal symbols. The coefficients of these forms are represented as algebraic functions of matrices.

About the authors

A. E. Teretenkov

Lomonosov Moscow State University

Author for correspondence.
Email: taemsu@mail.ru
Russian Federation, Moscow

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