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.
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页数:6
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