Investgation of the thermodynamics properties of particles via modified Klein-Gordon equation
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Abstract (EN)
In this research, the solutions of the Klein-Gordon equations are obtained for harmonic oscillation by using the modified dispersion that represent the effects of quantum gravity. Then, modified energy levels are obtained with the help of the modified solutions. After that, the partition function in the canonical ensemble is obtained. Thermodynamic quantities such as internal energy, Helmholtz free energy, entropy and heat capacity for low temperature limit are obtained from the modified dispersion relation. The obtained thermodynamic quantities are analyzed in details by plotting the graphs with respect to the mass for both the modified and standard cases. Keywords: Klein-Gordon equation, modified disperison relation, thermodynamics properties
Author
Yasemin Edres
Institution
How to Cite
Yasemin Edres (Master Thesis). Investgation of the thermodynamics properties of particles via modified Klein-Gordon equation, 2022, İstanbul University.
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