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Schrödinger Equation with a Non-Central Potential: Some Statistical Quantities

In this paper, we search the dependence of some statistical quantities such as the free energy, the mean energy, the entropy, and the specific heat for the Schrödinger equation on the temperature, particularly 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 by supporting with some plots for the thermal functions for one- and three-dimensional cases to find out the effect of the angular momentum. We also search 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 three-dimesional harmonic oscillator.

preprint2016arXivOpen access
Altug ArdaCevdet TezcanRamazan Sever
math-phmath.MPquant-ph
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Open access3 authors3 topics
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Altug ArdaCevdet TezcanRamazan Sever

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