Analytical Solution of Dirac Equation for q-Deformed Hyperbolic Manning-Rosen Potential in D Dimensions using SUSY QM and its Thermodynamics'Application

6th Asian Physics Symposium

Cari, C.^1,2 ; Suparmi, A.^1,2 ; Yunianto, M.^1 ; Pratiwi, B.N.^1

Physics Department, Faculty of Mathematics and Science, Sebelas Maret University, Jl.Ir. Sutami 36A, Kentingan Surakarta

57126, Indonesia^1

Physics Department, Graduate Program, Sebelas Maret University, Indonesia^2

关键词: Diatomic molecules;    Invariant properties;    Lowering operator;    Nonrelativistic energy;    Nonrelativistic limits;    Partition functions;    Relativistic energy;    Supersymmetric quantum mechanics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/739/1/012023/pdf
DOI  :  10.1088/1742-6596/739/1/012023

来源: IOP

【 摘 要 】

The Dirac equation of q-deformed hyperbolic Manning Rosen potential in D dimension was solved by using Supersymmetric Quantum Mechanics (SUSY QM). The D dimensional relativistic energy spectra were obtained by using SUSY QM and shape invariant properties and D dimensional wave functions of q-deformed hyperbolic Manning Rosen potential were obtained by using the SUSY raising and lowering operators. In the nonrelativistic limit, the relativistic energy spectra for exact spin symmetry case reduced into nonrelativistic energy spectra and so for the wave functions. In the classical regime, the partition function, the vibrational specific heat, and the vibrational mean energy of some diatomic molecules were calculated from the non-relativistic energy spectra with the help of error function and imaginary error function.