Quantum States of a Relativistic Charged Particle in Crossed Electric and Magnetic Fields

Authors

  • Basavaraj Kagali Bangalore University
  • Tavarekere Shivalingaswamy Government College (Autonomous), Mandya.

DOI:

https://doi.org/10.12723/mjs.58.5

Keywords:

Eigenenergies, Eigenfunctions, Bounstates, Crossed Electric and Magnetic Fields, Landau Levels, Klein Gordon equation, Landau gauge

Abstract

The exact eigenvalues and eigenfunctions of a spinless relativistic charged particle are obtained here. The results are compared with those from classical mechanics.

Author Biographies

Basavaraj Kagali, Bangalore University

Department of Physics, Bangalore University, Bengaluru, Karnataka, India.

Tavarekere Shivalingaswamy, Government College (Autonomous), Mandya.

Department of Physics, Government College (Autonomous), Mandya, Karnataka, India.

References

John David Jackson, Classical Electrodynamics, Third Edition, Wiley Student Edition, India, 2007.

L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Third Revised English Edition, Pergamon Press, New York, 1971.

David J. Griffiths, Introduction to Electrodynamics, Third Edition, Prentice Hall, New Jersey, 1999.

Shankar R., Principles of Quantum Mechanics, Second Edition, 14th Printing, Springer India, 2014.

Phillips A. C., Introduction to Quantum Mechanics, John Wiley and Sons Ltd. New York, USA, 2003.

David A. B. Miller, Quantum Mechanics for Scientists and Engineers, Cambridge University Press, New York, USA, 2008.

Efstratios Manousakis, Practical Quantum Mechanics, Oxford Univ. Press, 2016.

Additional Files

Published

2021-07-01