Thermodynamic quantities for the Klein-Gordon equation with a linear plus inverse-linear potential: Biconfluent Heun functions

被引：10

作者：

Arda, Altug ^{[1
,4
]}

Tezcan, Cevdet ^{[2
]}

Sever, Ramazan ^{[3
]}

机构：

[1] Hacettepe Univ, Dept Phys Educ, TR-06800 Ankara, Turkey

[2] Baskent Univ, Fac Engn, Baglica Campus, Ankara, Turkey

[3] Middle East Tech Univ, Dept Phys, TR-06531 Ankara, Turkey

[4] City Univ London, Dept Math Sci, Northampton Sq, London EC1V 0HB, England

来源：

PRAMANA-JOURNAL OF PHYSICS | 2017年 / 88卷 / 02期

关键词：

Thermodynamic quantity; Klein-Gordon equation; linear potential; inverse-linear potential; biconfluent Heun's equation; exact solution; DIRAC OSCILLATOR; CONFINEMENT; SUBJECT;

D O I：

10.1007/s12043-016-1347-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study some thermodynamic quantities for the Klein-Gordon equation with a linear plus inverse-linear, scalar potential. We obtain the energy eigenvalues with the help of the quantization rule from the biconfluent Heun's equation. We use a method based on the Euler-MacLaurin formula to analytically compute the thermal functions by considering only the contribution of positive part of the spectrum to the partition function.

引用

页数：6

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