Scattering States of
                    <i>l</i>
                    -Wave Schrödinger Equation with Modified Rosen—Morse Potential

Wen-Li, Chen; Shi, Yuanming; Wei, G.

doi:10.1088/0253-6102/66/2/196

Cited by 3 publications

(2 citation statements)

References 19 publications

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“…Therefore, applying Pekeris-type approximation [45] to the pseudo-centrifugal term k(k − 1)/r 2 , which has been proven effective in solving the scattering state problem. [46] The approximate formula can be expressed as…”

Section: Solutions To Dirac Equation With Pseudospin Symmetry Using P...mentioning

confidence: 99%

Pseudospin symmetric solutions of the Dirac equation with the modified Rosen–Morse potential using Nikiforov–Uvarov method and supersymmetric quantum mechanics approach

Chen¹,

Okon²

2022

Chinese Phys. B

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Employing the Pekeris-type approximation to deal with the pseudo-centrifugal term, we analytically study the pseudospin symmetry of a Dirac nucleon subjected to equal scalar and vector modified Rosen–Morse potential including the spin–orbit coupling term by using the Nikiforov–Uvarov method and supersymmetric quantum mechanics approach. The complex eigenvalue equation and the total normalized wave functions expressed in terms of Jacobi polynomial with arbitrary spin–orbit coupling quantum number k are presented under the condition of pseudospin symmetry. The eigenvalue equations for both methods reproduce the same result to affirm the mathematical accuracy of analytical calculations. The numerical solutions obtained for different adjustable parameters produce degeneracies for some quantum number.

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Section: Solutions To Dirac Equation With Pseudospin Symmetry Using P...mentioning

confidence: 99%

Pseudospin symmetric solutions of the Dirac equation with the modified Rosen–Morse potential using Nikiforov–Uvarov method and supersymmetric quantum mechanics approach

Chen¹,

Okon²

2022

Chinese Phys. B

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“…[11−13] Scattering States of l-wave Schrödinger equation with modified Rosen-Morse potential was also studied. [14] This potential can also be used to construct a double-well potential to treat the vibrations of polyatomic molecules such as the ammonia molecule. [8] The double well potentials [15−23] have been studied for a long time due to their complications and they could be used in the quantum theory of molecules to describe the motion of the particle in the presence of two centers of force, the heterostructures, Bose-Einstein condensates, and superconducting circuits, etc.…”

Section: Introductionmentioning

confidence: 99%

Semi-exact Solutions of Konwent Potential

Qian

Dong

Hernandez-Marquez

et al. 2019

Commun. Theor. Phys.

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In this work we study the quantum system with the symmetric Konwent potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun function. The eigenvalues have to be calculated numerically because series expansion method does not work due to the variable z ≥ 1. The properties of the wave functions depending on the potential parameter A are illustrated for given potential parameters V0 and a. The wave functions are shrunk towards the origin with the increasing |A|. In particular, the amplitude of wave function of the second excited state moves towards the origin when the positive parameter A decreases. We notice that the energy levels ϵi increase with the increasing potential parameter |A| ≥ 1, but the variation of the energy levels becomes complicated for |A| ∈ (0, 1), which possesses a double well. It is seen that the energy levels ϵi increase with |A| for the parameter interval A ∈ (−1, 0), while they decrease with |A| for the parameter interval A ∈ (0, 1).

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Improved Five-Parameter Exponential-Type Potential Energy Model for Diatomic Molecules

Wang²,

Jia

2019

Commun. Theor. Phys.

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The dissociation energy and equilibrium bond length as explicit parameters are used to establish an improved five-parameter exponential-type potential energy model for diatomic molecules. We demonstrate that the five-parameter exponential-type potential is identical to the Tietz potential for diatomic molecules. It is observed that the improved five-parameter exponential-type potential can well model the internuclear interaction potential energy curve for the ground electronic state of the carbon monoxide molecule by the utilization of the experimental values of three molecular constants.

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Scattering States of l -Wave Schrödinger Equation with Modified Rosen—Morse Potential

Cited by 3 publications

References 19 publications

Pseudospin symmetric solutions of the Dirac equation with the modified Rosen–Morse potential using Nikiforov–Uvarov method and supersymmetric quantum mechanics approach

Pseudospin symmetric solutions of the Dirac equation with the modified Rosen–Morse potential using Nikiforov–Uvarov method and supersymmetric quantum mechanics approach

Semi-exact Solutions of Konwent Potential

Improved Five-Parameter Exponential-Type Potential Energy Model for Diatomic Molecules

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