Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions
arXiv:1608.08090 · doi:10.1007/s12043-016-1347-y
Abstract
We study some thermodynamics 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 coming from the biconfluent Heun's equation. We use a method based on the Euler-MacLaurin formula to compute the thermal functions analytically by considering only the contribution of positive part of spectrum to the partition function.
to be published in Pramana, 11 pages, 4 figures
References in corpus (4)
- On the Klein-Gordon oscillator subject to a Coulomb-type potential
- Three-dimensional Dirac oscillator in a thermal bath
- On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
- Influence of spatially varying pseudo-magnetic field on a 2D electron gas in graphene