Feynman Kernel in Fractional Quantum Systems

Authors

  • Omprakash Atale  Department Physics, Khandesh College Education Society's Moolji Jaitha College, K.B.C. North Maharashtra University, Jalgaon, India”

DOI:

https://doi.org/10.32628/IJSRST229124

Keywords:

Fractional Quantum Mechanics, Feynman Kernel, Caputo Derivative

Abstract

In this paper, we have sketched what is to be known as fractional path integral representation in quantum mechanics. We will begin with fractional Schrödinger's equation in the framework of Caputo fractional derivatives. Furthermore, Feynman kernel for derived path integrals is established.

References

  1. Muslih, S.I., Agrawal, O.P. and Baleanu, D. A Fractional Schrödinger Equation and Its Solution. Int J Theor Phys 49, 1746–1752 (2010). https://doi.org/10.1007/s10773-010-0354-x
  2. Dong, J.P., Xu, M.Y.: Some solutions to the space fractional Schrödinger equation using momentum representation method. J. Math. Phys. 48, 072105 (2007)
  3. Naber, M.: Time fractional Schrödinger equation. J. Math. Phys. 45, 3339 (2004)
  4. Wang, S.W., Xu, M.Y.: Generalized fractional Schrödinger equation with space-time fractional derivatives. J. Math. Phys. 48, 043502 (2007)
  5. A. Iomin, Fractional evolution in quantum mechanics,Chaos, Solitons and Fractals: X, Volume 1, 2019, 100001, ISSN 2590-0544, https://doi.org/10.1016/j.csfx.2018.100001.
  6. Sabatier, J., Agrawal, O. P., & Machado, J. A. T. (Eds.). (2007). Advances in Fractional Calculus. doi:10.1007/978-1-4020-6042-7

International Journal of Scientific Research in Science and Technology

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Published

2022-02-28

Issue

Volume 9, Issue 1, January-February-2022

Section

Research Articles

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Copyright (c) IJSRST

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Omprakash Atale "Feynman Kernel in Fractional Quantum Systems" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 9, Issue 1, pp.164-168, January-February-2022. Available at doi : https://doi.org/10.32628/IJSRST229124