THERMODYNAMIC PROPERTIES OF INVERTED ISOTROPIC OSCILLATOR WITH DELTA FUNCTION POTENTIAL IN A MAGNETIC FIELD

Authors

  • Alalibo T. Ngiangia Department of Physics, University of Port Harcourt Choba, Port Harcourt, Nigeria. Author
  • Okechukwu Amadi Department of mathematics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria. Author
  • Tombotamunoa W. J. Lawson Department of mathematics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria. Author

Keywords:

Delta function potential, Radial Schrodinger equation, Magnetic field, Thermodynamic functions, Frobenius method, Inverted isotropic oscillator

Abstract

The thermal properties of inverted isotropic harmonic oscillator with delta function potential in a magnetic field was examined theoretically. The radial form of the Schrodinger equation with a formulated generalized potential was solved using the Frobenius series solution method and the energy eigenvalues was obtained to describe the thermal properties. Analysis of the results showed that, an increase in the strength of the delta function potential leads to a corresponding increase in the even parity energy eigenvalues of the generalized potential and degeneracy removed. An increase in the magnetic field, enhances the generalized potential about a mean point as well as the energy eigenvalues. As the magnetic field and the strength of the delta function potential increases, the thermodynamic functions are enhanced, especially, the additive property of entropy was established. 

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Published

2023-08-01

How to Cite

THERMODYNAMIC PROPERTIES OF INVERTED ISOTROPIC OSCILLATOR WITH DELTA FUNCTION POTENTIAL IN A MAGNETIC FIELD. (2023). The Journals of the Nigerian Association of Mathematical Physics, 65, 103 – 110. https://nampjournals.org.ng/index.php/home/article/view/38

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