International Journal of Pure and Apllied Mathematics

A SOLVABLE QSDE THROUGH SEMIGROUPS OF OPERATORS AND SOME PHYSICAL APPLICATIONS

Oswaldo Gonzalez-Gaxiola, José Antonio Santiago, Guillermo Chacón‐Acosta

Published Jun 27, 2013• 0 citations

Abstract

In this paper we give a characterization, through semigroups theory, of the solution of a quantum stochastic differential equation (QSDE).In the physical interpretation of the problem, we show that the group that characterizes the quantum dynamics appears as the strong limit a family of translations perturbed by a Gaussian potential.Finally, we use the model to study a twolevel atom in an electromagnetic field.

DOI: 10.12732/ijpam.v85i4.4

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