Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

Ikot, Akpan N.; Okorie, U. S.; Ngiangia, Alalibo T.; Onate, C. A.; Edet, C. O.; Akpan, I. O.; Amadi, P. O.

doi:10.26850/1678-4618eqj.v45.1.2020.p65-77

Cited by 49 publications

(38 citation statements)

References 35 publications

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“…However, we note that our generalized model fits appropriately with the trigonometric Pöschl-Tellerpotential. 4 , µ and α for various quantum states. It can be easily observed from these Figs.…”

Section: Numerical Results and Applicationsmentioning

confidence: 99%

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Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

et al. 2020

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Analytical solutions of the Schrödinger equation for the generalized trigonometric Pöschl–Teller potential by using an appropriate approximation to the centrifugal term within the framework of the Functional Analysis Approach have been considered. Using the energy equation obtained, the partition function was calculated and other relevant thermodynamic properties. More so, we use the concept of the superstatistics to also evaluate the thermodynamics properties of the system. It is noted that the well-known normal statistics results are recovered in the absence of the deformation parameter and this is displayed graphically for the clarity of our results. We also obtain analytic forms for the energy eigenvalues and the bound state eigenfunction solutions are obtained in terms of the hypergeometric functions. The numerical energy spectra for different values of the principal and orbital quantum numbers are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the trigonometric Pöschl–Teller potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods

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Section: Numerical Results and Applicationsmentioning

confidence: 99%

“…From the early days of quantum mechanics, the study of exactly solvable problems has attracted considerable attention in many branches of physics. In particular, the applications of quantum mechanics to nuclear physics, information theory, molecular physics, and particle physics need not be overemphasized [4,5].…”

Section: Introductionmentioning

confidence: 99%

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

et al. 2020

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“…[4] solved the Dirac equation for the energy-dependent Yukawa potential including a tensor interaction term within the framework of the pseudospin and spin symmetry limits with arbitrary spinorbit quantum number using the Nikiforov-Uvarov method. Ikot et al [14] solved the energy dependent Kratzer potential within the framework of non-relativistic quantum mechanics. [15] generalized Schrodinger equations that include the position-dependent mass was solved for systems featuring energy-dependent potentials.…”

Section: Introductionmentioning

confidence: 99%

Arbitrary l-Solutions of the Schrodinger Equation in Arbitrary Dimensions for the Energy Dependent Generalized Inverse Quadratic Yukawa Potential

et al. 2021

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Within the framework of Nikiforov-Uvarov method, we obtained an approximate solution of the Schrodinger equation for the Energy Dependent Generalized inverse quadratic Yukawa potential model. The bound state energy eigenvalues for were computed for various vibrational and rotational quantum numbers. Special cases were considered when the potential parameters were altered, resulting into Energy Dependent Kratzer and Kratzer potential, Energy Dependent Kratzer fues and Kratzer fues potential, Energy Dependent Inverse quadratic Yukawa and Inverse quadratic Yukawa Potential, Energy Dependent Yukawa (screened Coulomb) and Yukawa (screened Coulomb) potential, and Energy Dependent Coulomb and Coulomb potential, respectively. Their energy eigenvalues expressions and numerical computations agreed with the already existing literatures.

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“…Potensial Kratzer digunakan untuk menganalisis vibrasi antar nuklir dari molekul-molekul diatomik. Baru-baru ini potensial Kratzer dipakai untuk mengamati sifat optik linear dan nonlinear dari molekul-molekul diatomik seperti CO, NO, O 2 , and I 2 (Ikot et al, 2020). Secara matematis, potensial Kratzer dapat dituliskan sebagai berikut…”

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“…Terdapat beberapa metode yang dipakai untuk mendapatkan solusi analitik (nilai eigen dan fungsi eigen) dari persamaan gelombang non-relativistik dan juga relativistik. Metode Nikiforov-Uvarov (NU) (Karayer, 2019), metode Asymptotic Iteration method (AIM) (Ikot et al, 2020), metode faktorisasi (Mir-Kasimov, 2013), metode Time Step (Zhang, Liang, & Meng, 2009), pendekatan algebra (Shishan, Dong, Bahlouli, & Bezerra, 2011), dan metode Supersymmetric Quantum Mechanics (SUSY QM) adalah beberapa metode yang sering dipakai untuk menyelesaikan persamaan Schrodinger. SUSY QM adalah metode yang diusulkan oleh Witten dan terkenal dengan konsep shape invariance.…”

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Solusi Analitik Persamaan Schrodinger Terdedeformasi-q dengan Potensial Kratzer dalam Sistem Koordinat Bispherical Menggunakan Metode SUSYQM

et al. 2020

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Abstract: The analytical solution of the Schrodinger equation affected by Kratzer potential in Bispherical coordinate system was derived. The separable method was applied to reducing the Schrodinger equation which depends on into three one-dimensional Schrodinger equations. The Schrodinger equations as the function of with and without -deformed were solved using the SUSY QM method. The solutions were eigenvalue and eigenfunction of -deformed Schrodinger equation and eigenvalue end eigenfunction of Schrodinger equation with and without q-deformed in Bispherical coordinate system. The energy of the Schrodinger equation with -deformed equals to the Energy of Schrodinger without -deformed since the parameter becomes to zero.Abstrak: Solusi analitik dari Persamaan Schrodinger yang dipengaruhi Potensial Kratzer dalam koordinat Bispherical telah berhasil diturunkan. Metode pemisahan variabel digunakan untuk mereduksi persamaan Schrodinger yang bergantung pada menjadi tiga persamaan Schrodinger satu dimensi. Persamaan Schrodinger fungsi terdeformasi- dan tidak terdeformasi- diselesaikan menggunakan metode SUSY QM. Solusi yang berhasil didapatkan adalah nilai eigen dan fungsi eigen persamaan Schrodinger, masing-masing untuk sistem terdeformasi- dan yang tidak terdeformasi- dalam koordinat Bispherical. Energi dari persamaan Schrodinger terdeformasi- sama dengan energi dari persamaan Schrodinger yang tidak terdeformasi- ketika sama dengan nol.

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Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

Cited by 49 publications

References 35 publications

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

Arbitrary l-Solutions of the Schrodinger Equation in Arbitrary Dimensions for the Energy Dependent Generalized Inverse Quadratic Yukawa Potential

Solusi Analitik Persamaan Schrodinger Terdedeformasi-q dengan Potensial Kratzer dalam Sistem Koordinat Bispherical Menggunakan Metode SUSYQM

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