Klein-Gordon and Dirac Equations with Thermodynamic Quantities

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Date

2016-02-01

Author

Arda, Altug
TEZCAN, CEVDET
Sever, Ramazan

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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.

Subject Keywords

Magnetic-field, Space, Graphene, Oscillator, Thermal bath

URI

https://hdl.handle.net/11511/62843

Journal

FEW-BODY SYSTEMS

DOI

https://doi.org/10.1007/s00601-015-1031-7

Collections

Department of Physics, Article

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Citation Formats

A. Arda, C. TEZCAN, and R. Sever, “Klein-Gordon and Dirac Equations with Thermodynamic Quantities,” FEW-BODY SYSTEMS, pp. 93–101, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62843.