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Klein–Gordon and Dirac Equations with Thermodynamic Quantities

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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: (1) statistical functions for the Klein–Gordon equation with a linear potential having Lorentz vector, and Lorentz scalar parts (2) thermodynamic functions for the Dirac equation with a Lorentz scalar, inverse-linear potential by assuming that the scalar potential field is strong (A ≫ 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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Author notes

  1. Altuğ Arda

    Present address: Department of Mathematical Science, City University London, Northampton Square, London, EC1V 0HB, UK

Authors and Affiliations

  1. Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey

    Altuğ Arda

  2. Faculty of Engineering, Baskent University, Baglica Campus, Ankara, Turkey

    Cevdet Tezcan

  3. Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

    Ramazan Sever

Authors
  1. Altuğ Arda
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  2. Cevdet Tezcan
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  3. Ramazan Sever
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Correspondence to Altuğ Arda.

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Arda, A., Tezcan, C. & Sever, R. Klein–Gordon and Dirac Equations with Thermodynamic Quantities. Few-Body Syst 57, 93–101 (2016). https://doi.org/10.1007/s00601-015-1031-7

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  • DOI: https://doi.org/10.1007/s00601-015-1031-7

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