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

Vol. 12 No. 4: (October 2019)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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