Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions
Quantum Physics
2017-02-14 v1
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.
Cite
@article{arxiv.1608.08090,
title = {Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions},
author = {Altug Arda and Cevdet Tezcan and Ramazan Sever},
journal= {arXiv preprint arXiv:1608.08090},
year = {2017}
}
Comments
to be published in Pramana, 11 pages, 4 figures