Exact Solutions of the Schrödinger Equation with Position-dependent Effective Mass via General Point Canonical Transformation

被引：1
作者：
Cevdet Tezcan
Ramazan Sever
机构：
[1] Başkent University,Faculty of Engineering
[2] Middle East Technical University,Department of Physics
来源：
Journal of Mathematical Chemistry | 2007年 / 42卷
关键词：
position-dependent mass; point canonical transformation; effective mass Schrödinger equation; Rosen–Morse potential; Scarf potential; 03.65.-w; 03.65.Ge; 12.39.Fd;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Exact solutions of the Schrödinger equation are obtained for the Rosen–Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.
引用
收藏
页码：387 / 395
页数：8
相关论文
共 49 条
[21]   Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrodinger Equations [J].
Quesne, Christiane .
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5
[22]   Exact analytic solution of position-dependent mass Schrodinger equation [J].
Rajbongshi, H. .
INDIAN JOURNAL OF PHYSICS, 2018, 92 (03) :357-367
[23]   Shannon information entropies for position-dependent mass Schrdinger problem with a hyperbolic well [J].
Sun Guo-Hua ;
Duan Popov ;
Oscar Camacho-Nieto ;
Dong Shi-Hai .
Chinese Physics B, 2015, (10) :49-56
[24]   Effective Schrodinger equation with general ordering ambiguity position-dependent mass Morse potential [J].
Ikhdair, Sameer M. .
MOLECULAR PHYSICS, 2012, 110 (13) :1415-1428
[25]   Exact solutions of Pauli-Schrödinger equation for a particle with position dependent mass and magnetic momentum in a generalized Morse potential and magnetic field [J].
Madouri, Fethi ;
Alanzi, Abdullah Bnyah ;
Merdaci, Abdeldjalil .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2024, 79 (09) :881-886
[26]   Darboux transformations for Dunkl-Schrödinger equations with energy-dependent potential and position-dependent mass [J].
Schulze-Halberg, Axel ;
Roy, Pinaki .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (22)
[27]   Exactly solvable potentials and the bound-state solution of the position-dependent mass Schrödinger equation in D-dimensional space [J].
H. Rajbongshi .
Theoretical and Mathematical Physics, 2015, 184 :996-1010
[28]   Exact solution of the Schrodinger equation for the modified Kratzer's molecular potential with position-dependent mass [J].
Sever, Ramazan ;
Tezcan, Cevdet .
INTERNATIONAL JOURNAL OF MODERN PHYSICS E, 2008, 17 (07) :1327-1334
[29]   Series solutions of the Schrodinger equation with position-dependent mass for the Morse potential [J].
Yu, J ;
Dong, SH ;
Sun, GH .
PHYSICS LETTERS A, 2004, 322 (5-6) :290-297
[30]   Nonperturbative solutions for one-dimensional Schrodinger equation with position-dependent mass [J].
Solimannejad, M ;
Moayedi, SK ;
Tavakoli, M .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2006, 106 (05) :1027-1031
12345