N-dimensional Schrödinger equation at finite temperature using the Nikiforov-Uvarov method

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• 作者：M. Abu-Shady ; ^{abu_shady_1999@yahoo.com}
• 关键词：Schr&ouml ; dinger equation ; Nikiforov&ndash ; Uvarov method ; Finite temperature ; Quarkonium spectra
• 刊名：Journal of the Egyptian Mathematical Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：86-89
• 全文大小：354 K
• 卷排序：25

文摘

The N-radial Schrödinger equation is analytically solved. The Cornell potential is extended to finite temperature. The energy eigenvalues and the wave functions are calculated in the N-dimensional form using the Nikiforov–Uvarov (NV) method. At zero temperature, the energy eigenvalues and the wave functions are obtained in good agreement with other works. The present results are applied on the charmonium and bottomonium masses at finite temperature. The effect of dimensionality number is investigated on the quarkonium masses. A comparison is discussed with other works, which use the QCD sum rules and lattice QCD. The present approach successfully generalizes the energy eigenvalues and corresponding wave functions at finite temperature in the N-dimensional representation. In addition, the present approach can successfully be applied to the quarkonium systems at finite temperature.