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 (13)
- Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential
- On the Klein-Gordon oscillator subject to a Coulomb-type potential
- One-dimensional Dirac oscillator in a thermal bath
- Three-dimensional Dirac oscillator in a thermal bath
- On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential
- Solutions for the General, Confluent and Biconfluent Heun equations and their connection with Abel equations
- On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
- Thermodynamical properties of graphene in noncommutative phase-space
- Solution of the one-dimensional Dirac equation with a linear scalar potential
- Confinement of fermions by mixed vector-scalar linear potentials in two-dimensional space-time
- Exact solution for a fermion in the background of a scalar inversely linear potential
- Influence of spatially varying pseudo-magnetic field on a 2D electron gas in graphene
- Confinement of spinless particles by Coulomb potentials in two-dimensional space-time