Klein–Gordon and Dirac Equations with Thermodynamic Quantities

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• 作者：Altuğ Arda ; Cevdet Tezcan ; Ramazan Sever
• 刊名：Few-Body Systems
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：57
• 期：2
• 页码：93-101
• 全文大小：580 KB
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• 作者单位：Altuğ Arda (1) (4)
  Cevdet Tezcan (2)
  Ramazan Sever (3)
  
  1. Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey
  4. Department of Mathematical Science, City University London, Northampton Square, London, EC1V 0HB, UK
  2. Faculty of Engineering, Baskent University, Baglica Campus, Ankara, Turkey
  3. Department of Physics, Middle East Technical University, 06531, Ankara, Turkey
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Nuclei
  Nuclear Physics, Heavy Ions and Hadrons
  Atoms, Molecules, Clusters and Plasmas
  
• 出版者：Springer Wien
• ISSN：1432-5411

文摘

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.