Nonrelativistic treatment of inversely quadratic Hellmann-Kratzer potential and thermodynamic properties

Abstract

The study presents approximate analytical solutions of the Schr€ odinger equation with a newly proposed potential model called Inversely Quadratic Hellmann-Kratzer potential (IQHKP). This potential is a superposition of Inversely Quadratic Hellman potential and Kratzer potential. The energy eigenvalues and corresponding wavefunction are calculated via the formula method. We applied our results to evaluate thermodynamic functions such as vibrational free energy, F, vibrational internal energy, U, vibrational entropy, S, and vibrational specific heat, C. We also reported special cases of importance.

Analysis of quantum systems subject to inverse trigonometry Scarf plus Coulomb potential in N-dimensions

“…There has been a surge of interest in the sum of the exponential-type potential models because of their important applications in various areas of physics. In this context, many researchers have investigated the bound-state solutions of these potentials within the regime of relativistic and non-relativistic quantum mechanics [1][2][3][4][5][6][7][8][9][10][11][12]. Inverse trigonometry Scarf plus Coulomb potential model is one of such potential, recently proposed by Onate et al [11].…”