Klein-Gordon and Dirac Equations with Thermodynamic Quantities
FEW-BODY SYSTEMS, vol.57, no.2, pp.93-101, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 57 Issue: 2
- Publication Date: 2016
- Doi Number: 10.1007/s00601-015-1031-7
- Journal Name: FEW-BODY SYSTEMS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.93-101
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: No
Abstract
We study the thermodynamic quantities such as the Helmholtz free energy, the mean energy and the specific heat for both the Klein-Gordon, and Dirac equations. Our analyze includes two main subsections: (1) statistical functions for the Klein-Gordon equation with a linear potential having Lorentz vector, and Lorentz scalar parts (2) thermodynamic functions for the Dirac equation with a Lorentz scalar, inverse-linear potential by assuming that the scalar potential field is strong (A >> 1). We restrict ourselves to the case where only the positive part of the spectrum gives a contribution to the sum in partition function. We give the analytical results for high temperatures.