BOUND STATES OF PSEUDO-HARMONIC OSCILLATOR IN THE PRESENCE OF MAGNETIC FIELD

Authors

  • K. J. OYEWUMI THEORETICAL PHYSICS SECTION, DEPARTMENT OF PHYSICS, UNIVERSITY OF ILORIN, P. M. B. 1515, ILORIN, NIGERIA
  • E. O. TITILOYE DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ILORIN, P. M. B. 1515, ILORIN, NIGERIA.
  • A. B. ALABI THEORETICAL PHYSICS SECTION, DEPARTMENT OF PHYSICS, UNIVERSITY OF ILORIN, P. M. B. 1515, ILORIN, NIGERIA
  • B. J. FALAYE APPLIED THEORETICAL PHYSICS DIVISION, DEPARTMENT OF PHYSICS, FEDERAL UNIVERSITY LAFIA, P. M. B. 146, LAFIA, NIGERIA.

Abstract

In this paper, we study the effect of external magnetic field on the bound state solution of the Schrödinger equation with the pseudoharmonic oscillator potential. The formula method has been applied in our calculations. The results obtained by using different Larmor frequencies and potential parameters are compared with the results of the absence of magnetic field case. We find that the energy spectrum given is mainly depending on dissociation energy and the magnetic quantum numbers m = 0, ±1, ±2, . . . , which are influenced by the magnetic field pointing along z-axis, split energy to maximum and minimum levels.

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Published

2017-01-28

How to Cite

OYEWUMI, K. J., TITILOYE, E. O., ALABI, A. B., & FALAYE, B. J. (2017). BOUND STATES OF PSEUDO-HARMONIC OSCILLATOR IN THE PRESENCE OF MAGNETIC FIELD. Journal of the Nigerian Mathematical Society, 35(3), 460–467. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/42

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