The complete solution of the Schrödinger equation with the Rosen-Morse type potential via the Nikiforov-Uvarov method

被引：3

作者：

Gordillo-Nunez, Guillermo ^{[1
]}

Alvarez-Nodarse, Renato ^{[2
]}

Quintero, Niurka R. ^{[3
]}

机构：

[1] Univ Coimbra, CMUC, EC Santa Cruz, P-3001501 Coimbra, Portugal

[2] Univ Seville, Dept Anal Matemat, IMUS, C Tarfia S-N, Seville 41012, Spain

[3] Univ Seville, Fis Aplicada 1, ETSII, Ave Reina Mercedes S-N, Seville 41012, Spain

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2024年 / 458卷

关键词：

Schrodinger equation; Special functions; Nikiforov-Uvarov method; Stability of nonlinear waves; KINK ANTIKINK INTERACTIONS; FIELD-THEORY; DISPLACIVE; STABILITY; MECHANICS; DYNAMICS; WAVES; MODEL;

D O I：

10.1016/j.physd.2023.134008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine exact solutions of the time-independent Schrodinger equation for the Rosen-Morse type potential by using the Nikiforov-Uvarov method. This method allows us to write the eigenfunctions of the Schrodinger equation as the product of two simpler functions in a constructive way. The resolution of this problem is used to show that the kinks of the non-linear Klein-Gordon equation with ��2 ��+2 type potentials are stable. We also derive the orthogonality and completeness relations satisfied by the set of eigenfunctions, which are useful in the description of the dynamics of kinks under perturbations or interacting with antikinks.

引用

页数：12

共 36 条

[1] Relativistic symmetries in the Rosen-Morse potential and tensor interaction using the Nikiforov-Uvarov method
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[2] Approximate Ro-Vibrational Spectrum of the Modified Rosen-Morse Molecular Potential Using the Nikiforov-Uvarov Method
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[3] Exact Bound State Solutions of the Schrödinger Equation for Noncentral Potential via the Nikiforov-Uvarov Method
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[4] Pseudospin symmetric solutions of the Dirac equation with the modified Rosen-Morse potential using Nikiforov-Uvarov method and supersymmetric quantum mechanics approach
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[5] Exact Bound State Solutions of the Schrodinger Equation for Noncentral Potential via the Nikiforov-Uvarov Method
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[7] A New Vision on Schrödinger Equation Using Position Dependent Mass Concerning Modified Hylleraas-Hulthén Potential Expanded by Nikiforov-Uvarov Method
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[8] EXACT SOLUTIONS OF DIRAC EQUATION WITH HARTMANN POTENTIAL BY NIKIFOROV-UVAROV METHOD
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[9] Exact solution of Schrodinger equation with q-deformed quantum potentials using Nikiforov-Uvarov method
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[10] EXACT SOLUTION OF DIRAC EQUATION FOR MIE-TYPE POTENTIAL BY USING THE NIKIFOROV-UVAROV METHOD UNDER THE PSEUDOSPIN AND SPIN SYMMETRY LIMIT
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