D-dimensional Schrodinger equation with attractive radial potential and its thermal properties

被引：0
作者：
Okorie, Uduakobong S. [1 ]
Ikot, Akpan N. [2 ]
Ibrahim, Nuhu [3 ]
机构：
[1] Akwa Ibom State Univ, Dept Phys, Ikot Akpaden,PMB 1167, Uyo, Nigeria
[2] Univ Port Harcourt, Dept Phys, Theoret Phys Grp, Choba, Nigeria
[3] Univ Maiduguri, Dept Phys, PMB 1069, Maiduguri, Nigeria
来源：
PRAMANA-JOURNAL OF PHYSICS | 2023年 / 97卷 / 03期
关键词：
Schrodinger equation; attractive radial potential; Euler MacLaurin formula; thermal properties; partition function; entropy; ENERGY MODELS;
D O I：
10.1007/s12043-023-02571-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The D-dimensional Schrodinger equation with attractive radial potential (ARP) is solved using asymptotic iteration method, and its approximate solutions are obtained in closed form. The normalised wave function of the potential model was also determined using the hypergeometric Gauss differential equation. The variation of the energy eigenvalues of ARP with different potential parameters and quantum numbers were discussed for selected dimensions. In addition, the thermal property expressions for ARP were obtained in closed form, and their variations with temperature were discussed extensively for various values of dimension. Critical temperature values were seen to exist for specific heat capacity, at unique dimensions. Our results agree with those obtained in the literatures.
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页数：7
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