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

      ALTUG˘ ARDA CEVDET TEZCAN RAMAZAN SEVER

      Regular Volume 88 Issue 2 February 2017 Article ID 0039

    • Fulltext

       

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      Permanent link:
      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

       
      Published
      16 February 2017
      Manuscript received
      9 December 2015
      Manuscript revised
      2 June 2016
      Accepted
      24 August 2016
      Early published
      1 February 2017

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