• Thermodynamic quantities for the Klein–Gordon equation with a linear plus inverse-linear potential: Biconfluent Heun functions

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      https://www.ias.ac.in/article/fulltext/pram/088/02/0039

    • Keywords

       

      Thermodynamic quantity; Klein–Gordon equation; linear potential; inverse-linear potential; biconfluent Heun’s equation; exact solution.

    • Abstract

       

      We study some thermodynamic quantities for the Klein–Gordon equation with a linear plus inverselinear, scalar potential. We obtain the energy eigenvalues with the help of the quantization rule from the biconfluent Heun’s equation.We use a method based on the Euler–MacLaurin formula to analytically compute thethermal functions by considering only the contribution of positive part of the spectrum to the partition function.

    • Author Affiliations

       

      ALTUG˘ ARDA1 2 CEVDET TEZCAN3 RAMAZAN SEVER4

      1. Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey
      2. Present address: Department of Mathematical Science, City University London, Northampton Square, London EC1V 0HB, UK
      3. Faculty of Engineering, Baskent University, Baglica Campus, Ankara, Turkey
      4. Department of Physics, Middle East Technical University, 06531, Ankara, Turkey
    • Dates

       
  • Pramana – Journal of Physics | News

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