Vol. 20 No. 3 (2021): Mapana Journal of Sciences
Research Articles

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

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

Published 2021-07-01

Keywords

  • Eigenenergies,
  • Eigenfunctions,
  • Bounstates,
  • Crossed Electric and Magnetic Fields,
  • Landau Levels,
  • Klein Gordon equation,
  • Landau gauge
  • ...More
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Abstract

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

References

  1. John David Jackson, Classical Electrodynamics, Third Edition, Wiley Student Edition, India, 2007.
  2. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Third Revised English Edition, Pergamon Press, New York, 1971.
  3. David J. Griffiths, Introduction to Electrodynamics, Third Edition, Prentice Hall, New Jersey, 1999.
  4. Shankar R., Principles of Quantum Mechanics, Second Edition, 14th Printing, Springer India, 2014.
  5. Phillips A. C., Introduction to Quantum Mechanics, John Wiley and Sons Ltd. New York, USA, 2003.
  6. David A. B. Miller, Quantum Mechanics for Scientists and Engineers, Cambridge University Press, New York, USA, 2008.
  7. Efstratios Manousakis, Practical Quantum Mechanics, Oxford Univ. Press, 2016.