Thermodynamics properties study of diatomic molecules with q-deformed modified Poschl-Teller plus Manning Rosen non-central potential in D dimensions using SUSYQM approach

4th International Conference on Science & Engineering in Mathematics, Chemistry and Physics 2016

数学;化学;物理学

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

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

57126, Indonesia^1

关键词: Central potentials;    Classical limits;    Diatomic molecules;    Invariant properties;    Partition functions;    Relativistic energy;    Supersymmetric quantum mechanics;    Thermodynamics property;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/710/1/012026/pdf
DOI  :  10.1088/1742-6596/710/1/012026

来源: IOP

【 摘 要 】

D-dimensional Dirac equation of q-deformed modified Poschl-Teller plus Manning Rosen non-central potential was solved using supersymmetric quantum mechanics (SUSY QM). The relativistic energy spectra were analyzed by using SUSY QM and shape invariant properties from radial part of D dimensional Dirac equation and the angular quantum numbers were obtained from angular part of D dimensional Dirac equation. The SUSY operators was used to generate the D dimensional relativistic wave functions both for radial and angular parts. In the non-relativistic limit, the relativistic energy equation was reduced to the non-relativistic energy. In the classical limit, the partition function of vibrational, the specific heat of vibrational, and the mean energy of vibrational of some diatomic molecules were calculated from the equation of non-relativistic energy with the help of error function and Mat-lab 2011.