Thermodynamic properties and approximate solutions of the ℓ-state Pöschl-Teller-type potential

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• 作者：W.A. Yahya^a ; ^b ; ^{wazzy4real@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; K.J. Oyewumi^a ; ^{mjpysics@yahoo.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Pö ; schl&ndash ; Teller-type potential ; Klein&ndash ; Gordon equation ; Schrö ; dinger equation ; Thermodynamic properties ; Parametric Nikiforov&ndash ; Uvarov method
• 刊名：Journal of the Association of Arab Universities for Basic and Applied Sciences
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：21
• 期：Complete
• 页码：53-58
• 全文大小：651 K

文摘

In this study, the solutions of the ℓ-state Pöschl–Teller-type potential for the Schrödinger and Klein–Gordon equations are obtained using the parametric Nikiforov–Uvarov method. Solving the Schrödinger and Klein–Gordon wave equations, the energy eigenvalues and wave functions are obtained. For the case ℓ=0$\ell =0$, we made comparison with previous results where the solutions of Schrödinger equation for the Pöschl–Teller-type potential were obtained for s-wave (ℓ=0$\ell =0$) state. We also obtain the thermodynamic properties such as vibrational mean energy, vibrational specific heat, vibrational mean free energy and vibrational entropy for the Pöschl–Teller-type potential in the classical limit.