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

arXiv
Authors: Altug Arda, Cevdet Tezcan, Ramazan Sever

Year

2016

Paper ID

7777

Status

Preprint

Abstract Read

~2 min

Abstract Words

63

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We study some thermodynamics quantities for the Klein-Gordon equation with a linear plus inverse-linear, scalar potential.

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