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

Downloads

Published

2019-10-31

Issue

Vol. 12 No. 4: (October 2019)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

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