The Darboux transformation of the Schrodinger equation with an energy-dependent potential

被引：24

作者：

Lin, Ji ^{[1
]}

Li, Yi-Shen

Qian, Xian-Min

机构：

[1] Zhejiang Normal Univ, Inst Theoret Phys, Jinhua 321004, Peoples R China

[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

[3] Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China

来源：

PHYSICS LETTERS A | 2007年 / 362卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.physleta.2006.10.016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two Darboux transformations of a Schrodinger equation with an energy-dependent potential are considered. More complicated potential functions are obtained from a simple potential function by the Darboux transformations for the Schrodinger equation and the eigenfunctions are given respectively. (c) 2006 Published by Elsevier B.V.

引用

页码：212 / 214

页数：3

共 50 条

[31] On the Jost solutions of the Schrodinger-type equations with a polynomial energy-dependent potential
Nabiev, AA
Guseinov, IM
INVERSE PROBLEMS, 2006, 22 (01) : 55 - 67
[32] An investigation with Hermite Wavelets for accurate solution of Fractional Jaulent-Miodek equation associated with energy-dependent Schrodinger potential
Gupta, A. K.
Ray, S. Saha
APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 : 458 - 471
[33] SCATTERING FOR 1D SCHRODINGER-EQUATION WITH ENERGY-DEPENDENT POTENTIALS AND THE RECOVERY OF THE POTENTIAL FROM THE REFLECTION COEFFICIENT
AKTOSUN, T
VANDERMEE, C
PHYSICAL REVIEW LETTERS, 1990, 65 (11) : 1289 - 1293
[34] On the solutions of the space-time fractional coupled Jaulent-Miodek equation associated with energy-dependent Schrodinger potential
Li, Chao
Guo, Qilong
APPLIED MATHEMATICS LETTERS, 2021, 121
[35] An nth-order Darboux transformation for the one-dimensional time-dependent Schrodinger equation
Arrigo, DJ
Hickling, F
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (06): : 1615 - 1621
[36] Darboux transformations for Dunkl-Schrödinger equations with energy-dependent potential and position-dependent mass
Schulze-Halberg, Axel
Roy, Pinaki
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (22)
[37] Darboux transformation for a two-component derivative nonlinear Schrodinger equation
Ling, Liming
Liu, Q. P.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (43)
[38] Energy-Dependent Scaling of the Dirac Equation
Karwowski, Jacek
Pestka, Grzegorz
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2009, 109 (13) : 2903 - 2908
[39] Nonlinear Schrodinger equation: Generalized Darboux transformation and rogue wave solutions
Guo, Boling
Ling, Liming
Liu, Q. P.
PHYSICAL REVIEW E, 2012, 85 (02):
[40] Darboux Transformation of the Second-Type Derivative Nonlinear Schrodinger Equation
Zhang, Yongshuai
Guo, Lijuan
He, Jingsong
Zhou, Zixiang
LETTERS IN MATHEMATICAL PHYSICS, 2015, 105 (06) : 853 - 891

← 1 2 3 4 5 →