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

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Arda A., Tezcan C., Sever R.

PRAMANA-JOURNAL OF PHYSICS, vol.88, no.2, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 88 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.1007/s12043-016-1347-y
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Thermodynamic quantity, Klein-Gordon equation, linear potential, inverse-linear potential, biconfluent Heun's equation, exact solution, DIRAC OSCILLATOR, CONFINEMENT, SUBJECT
  • Hacettepe University Affiliated: Yes


We study some thermodynamic quantities for the Klein-Gordon equation with a linear plus inverse-linear, 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 the thermal functions by considering only the contribution of positive part of the spectrum to the partition function.