The Smoothness of Schrodinger Operator with Electromagnetic Potential

Authors

  • Yahea Hashem Saleem
  • Hadeel Ali Shubber THi-Qar University

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i4.3515

Keywords:

Schrodinger operator, electric potential, magnetic potential, smoothness

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.

Author Biography

  • Hadeel Ali Shubber, THi-Qar University
    mathematic

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Published

2019-10-31

Issue

Section

Nonlinear Analysis

How to Cite

The Smoothness of Schrodinger Operator with Electromagnetic Potential. (2019). European Journal of Pure and Applied Mathematics, 12(4), 1441-1454. https://doi.org/10.29020/nybg.ejpam.v12i4.3515