Solutions of the Schrodinger equation of the shifted screened Kratzer potential and its thermodynamic functions using the extended Nikiforov–Uvarov method

Abstract

By employing the extended Nikiforov–Uvarov (ENU) method, we solved the radial Schrodinger equation with the shifted screened Kratzer potential model. The analytical expression of the energy eigenvalues and numerical results were determined for some selected diatomic molecule systems. Variations of the energy eigenvalues obtained with potential parameters and quantum numbers were discussed graphically. Also, variations of different thermodynamic properties with temperature and maximum vibration quantum numbers were discussed extensively. Our results correspond to the results obtained in the literatures. The shifting parameters contribute a great effect to the energy results obtained. It has also been established that there exists a critical temperature at specific entropy values for the selected diatomic molecule systems.

On the Screened Kratzer Potential and Its Variants

“…It is clear that D e and r e do not have their intended meaning. Ibrahim et al [11] invented the shifted screened Kratzer potential…”

“…A few years later, typical textbooks on spectroscopy [3] scarcely resort to the Kratzer potential and today no spectroscopist would take it seriously. However, several authors have recently shown some interest in the Kratzer potential and even proposed some variants [4][5][6][7][8][9][10][11][12], like the screened Kratzer potential [4,5,10], the screened cosine Kratzer potential [6], the Hulten-screened Kratzer potential [7], the improved screened Kratzer potential [8], the improved Kratzer potential [9], the shifted screened Kratzer potential [11] and the harmonic plus screened Kratzer potential [12].…”

Simulasi Penyelesaian Tingkat Energi Sistem Molekul Dalam Pengaruh Potensial Kratzer Dengan Metode Parametrik Nikiforov-Uvarov

“…Bentuk umum potensial Kratzer sebagai berikut (Berkdemir, 2012): Potensial potensial Kratzer menjadi penting untuk ditinjau karena potensial Kratzer merupakan model yang paling tepat untuk mengambarkan interaksi dari struktur molekul dalam mekanika kuantum. Pada beberapa penelitian bentuk umum potensial potensial Kratzer mengalami modifikasi dengan shifting parameters yang dapat disesesuaikan (Ibrahim et al, 2022). Penelitian lainya juga mengambungkan potensial Kratzer salah satunya mengkaji gabungan potential Kratzer -potential ring shaped (Ikhdair & Sever, 2008) dengan metode Nikiforov-Uvarov.…”

“…Penelitian lainya juga mengambungkan potensial Kratzer salah satunya mengkaji gabungan potential Kratzer -potential ring shaped (Ikhdair & Sever, 2008) dengan metode Nikiforov-Uvarov. Terdapat pula penelitian lain yang mengkaji potensial Kratzer yang telah dimodifikasi dengan penambahan parameter dengan metode Nikiforov-Uvarov (Ibrahim et al, 2022). Ketiga penelitian tersebut menggunakan metode Nikiforov-Uvarov dengan bentuk potensial Kratzer telah dimodifikasi.…”

Commentary: Solutions of the Schrodinger equation of the shifted screened Kratzer potential and its thermodynamic functions using the extended Nikiforov–Uvarov method

“…In a paper presented recently in this journal, Ibrahim et al [1] proposed the shifted screened Kratzer potential for the analysis of the spectra of diatomic molecules. After a suitable transformation of part of the potential energy function, they derived analytical expressions for the vibration-rotation eigenvalues by means of the Nikiforov-Uvarov method.…”