Schrodinger equation with a non-central potential: Some statistical quantities

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Date

2016-09-20

Author

Arda, Altug
TEZCAN, CEVDET
Sever, Ramazan

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In this paper, we study the dependence of some statistical quantities such as the free energy, the mean energy, the entropy, and the specific heat for the Schrodinger equation on the temperature, particularly in the case of a non-central potential. The basic point is to find the partition function which is obtained by a method based on the Euler-Maclaurin formula. At first, we present the analytical results supporting them with some plots for the thermal functions for one-and three-dimensional cases to find out the effect of the angular momentum. We also study then the effect of the angle-dependent part of the non-central potential. We discuss the results briefly for a phase transition for the system. We also present our results for a three-dimesional harmonic oscillator.

Subject Keywords

3-dimensional dirac oscillator, Thermodynamic properties, Thermal-properties, Symmetries, Motion

URI

https://hdl.handle.net/11511/62787

Journal

EUROPEAN PHYSICAL JOURNAL PLUS

DOI

https://doi.org/10.1140/epjp/i2016-16323-0

Collections

Department of Physics, Article

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Citation Formats

A. Arda, C. TEZCAN, and R. Sever, “Schrodinger equation with a non-central potential: Some statistical quantities,” EUROPEAN PHYSICAL JOURNAL PLUS, pp. 0–0, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62787.