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

被引：2

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

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