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arXiv · 1510.06393

Klein-Gordon and Dirac Equations with Thermodynamic Quantities

Altug Arda·Cevdet Tezcan·Ramazan Sever
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Abstract

We study the thermodynamic quantities such as the Helmholtz free energy, the mean energy and the specific heat for both the Klein-Gordon, and Dirac equations. Our analyze includes two main subsections: ($i$) statistical functions for the Klein-Gordon equation with a linear potential having Lorentz vector, and Lorentz scalar parts ($ii$) thermodynamic functions for the Dirac equation with a Lorentz scalar, inverse-linear potential by assuming that the scalar potential field is strong ($A \gg 1$). We restrict ourselves to the case where only the positive part of the spectrum gives a contribution to the sum in partition function. We give the analytical results for high temperatures.

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Altug Arda, Cevdet Tezcan, Ramazan Sever. 2015-10-21. Klein-Gordon and Dirac Equations with Thermodynamic Quantities. https://doi.org/10.1007/s00601-015-1031-7

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