The Smoothness of Schrodinger Operator with Electromagnetic Potential

Yahea Hashem Saleem, Hadeel Ali Shubber

Abstract

In this paper, we prove that the Feynman-Kac It^o formula of the Schrodinger operator with electromagnetic (t; x) in equation (1) in [8] is dierentiable of the variable t, and so establish that the innitely dierentiable in a region, therefore, investigate smoothness of this function.

Keywords

Schrodinger operator, electric potential, magnetic potential, smoothness

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