THERMODYNAMIC PROPERTIES OF INVERTED ISOTROPIC OSCILLATOR WITH DELTA FUNCTION POTENTIAL IN A MAGNETIC FIELD
Keywords:
Delta function potential, Radial Schrodinger equation, Magnetic field, Thermodynamic functions, Frobenius method, Inverted isotropic oscillatorAbstract
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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