Non-Relativistic Energy Spectra of the Modified Hylleraas Potential and Its Thermodynamic Properties in Arbitrary Dimensions

Abstract

In this study, the solutions of the Schrodinger equation (SE) with modified Hylleraas potential in arbitrary dimensions was obtained using the asymptotic iteration method (AIM) to obtain the energy and wave functions, respectively. The energy equation was used to obtain the thermal properties of this system. The effect of the potential parameters and dimensions on the energy spectra and thermal properties was scrutinized thoroughly. It was found that the aforementioned affects the thermal properties and energy spectra, respectively. In addition, we also computed the numerical energy spectra of the MHP for the first time and discussed it in detail. The results of our study can be applied to molecular physics, chemical physics, etc.

Effects of Applied Magnetic Field on the Optical Properties and Binding Energies Spherical GaAs Quantum Dot with Donor Impurity

“…This is because it provides us with a relatively less-expensive approach to simulate physical systems of interest compared to experimetal and advanced computational approaches [1][2][3][4]. A number of physical phenomena have been modelled and simulated by several potential models [5][6][7][8][9], such as the quarkonium interactions have been modelled by Cornell potential [10][11][12], Yukawa potential [13][14][15], extended Cornell potential [16], etc. Diatomic and Polyatomic molecules have been modelled by the Morse potential [17][18][19][20][21], improved Tietz potential [22], Deng-Fan-Eckart potential [23][24][25] and many others.…”