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Approximate solution of the Schrödinger equation with Manning-Rosen plus Hellmann potential and its thermodynamic properties using the proper quantization rule

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Abstract.

We obtained, by using the proper quantization rule, the approximate solutions of the Schrödinger equation with Manning-Rosen plus Hellmann potential for any l-state. Furthermore, thermodynamic properties, such as the vibrational mean U , specific heat C, free energy F and entropy S for the pure vibrational state in the classical limit for these energy eigenvalues, are studied.

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Correspondence to Hitler Louis.

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Louis, H., Ita, B.I. & Nzeata, N.I. Approximate solution of the Schrödinger equation with Manning-Rosen plus Hellmann potential and its thermodynamic properties using the proper quantization rule. Eur. Phys. J. Plus 134, 315 (2019). https://doi.org/10.1140/epjp/i2019-12835-3

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