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arXiv · 1608.08090

Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions

Altug Arda·Cevdet Tezcan·Ramazan Sever
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Abstract

We study some thermodynamics 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 coming from the biconfluent Heun's equation. We use a method based on the Euler-MacLaurin formula to compute the thermal functions analytically by considering only the contribution of positive part of spectrum to the partition function.

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Altug Arda, Cevdet Tezcan, Ramazan Sever. 2016-08-26. Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions. https://doi.org/10.1007/s12043-016-1347-y

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