Eigenstates of a Charged Simple Harmonic Oscillator in a Uniform Magnetic Field

Authors

  • Kagali Basavaraj Adaviyappa Department of Physics, Bangalore University, Jnanabharathi, Bengaluru, Karnataka, India.
  • Dr. Shivalingaswamy Tavarekere Department of Physics, Government College (Autonomous), Mandya, Karnataka, India.

Keywords:

Simple Harmonic Oscillator, Uniform Magnetic field, Landau levels, Landau gauge, Energy eigenvalues and eigenfunctions

Abstract

The exact eigenstates of a simple harmonic oscillator and those of a charged particle in a uniform magnetic field are well known and frequently used. In this short article, we work out the exact eigenstates of a charged harmonic oscillator placed in a uniform magnetic field using a novel gauge choice for the vector potential.

Author Biographies

Kagali Basavaraj Adaviyappa, Department of Physics, Bangalore University, Jnanabharathi, Bengaluru, Karnataka, India.

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

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

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

References

L. Landau and E. Lifshitz, The classical theory of fields Volume 2 of Course of Theoretical Physics, Fourth revised English edition, Elsevier, 2013

B. H. Bransden and C.J. Joachain, Quantum Mechanics, Second Edition, Pearson Education, First Indian reprint 2004, pp 174.

Richard L. Liboff, Introduction to Quantum Mechanics, Addison Wesley, 1980.

R. Shankar, Principles of Quantum Mechanics, 2nd ed. Plenum Press, 1994.

W. Greiner, Quantum Mechanics-An introduction, Springer-Verlag, fourth edition, first Indian reprint, 2004.

N. Sethulakshmi et.al, “Magnetism in two-dimensional materials beyond graphene”, Materials today, Vol. 27, July-August 2019, page 107-122.

Additional Files

Published

2021-12-27

Issue

Vol. 20 No. 2 (2021): Mapana Journal of Sciences

Section

Research Articles

License

Copyright (c) 2021 Dr. Shivalingaswamy T, Kagali B.A

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