Solvable qsde through semigroups of operators and some physical applications

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.