Series solutions of the Schrodinger equation with position-dependent mass for the Morse potential

被引:187
作者
Yu, J
Dong, SH
Sun, GH
机构
[1] Inst Mexicano Petr, Programa Ingn Mol, Mexico City 07730, DF, Mexico
[2] Univ Autonoma Metropolitana Iztapalapa, Dept Fis, Mexico City 09340, DF, Mexico
[3] Univ Nacl Autonoma Mexico, Inst Invest Matemat Apliicadas & Sistemas, Mexico City 01000, DF, Mexico
关键词
Morse potential; position-dependent mass; series expansion method;
D O I
10.1016/j.physleta.2004.01.039
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The analytical solutions of the Schrodinger equation with position-dependent mass for the Morse potential are obtained by the series expansion method. The Morse potential and the position-dependent mass themselves are expanded in the series about the origin. As an example, the analytical series solutions of the Morse potential with the position-dependent mass m = m(0)e(lambdar) are given. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:290 / 297
页数:8
相关论文
共 63 条
[1]  
Alhaidari A.D., CONDMAT0303537
[2]  
Alhaidari A.D., MATHPH0310030
[3]  
Alhaidari AD, 2002, PHYS REV A, V66, DOI 10.1103/PhysRevA.66.042116
[4]   GROUP-THEORY APPROACH TO SCATTERING [J].
ALHASSID, Y ;
GURSEY, F ;
IACHELLO, F .
ANNALS OF PHYSICS, 1983, 148 (02) :346-380
[5]  
[Anonymous], 1994, Algebraic Methods in Molecular and Nuclear Physics
[6]   Algebraic approach to shape invariance [J].
Balantekin, AB .
PHYSICAL REVIEW A, 1998, 57 (06) :4188-4191
[7]   Traversal times and charge confinement for spatially dependent effective masses within semiconductor heterostructures: the quantum potential approach [J].
Barker, JR ;
Watling, JR .
MICROELECTRONIC ENGINEERING, 2002, 63 (1-3) :97-103
[8]   Structure and energetics of mixed He-4-He-3 drops [J].
Barranco, M ;
Pi, M ;
Gatica, SM ;
Hernandez, ES ;
Navarro, J .
PHYSICAL REVIEW B, 1997, 56 (14) :8997-9003
[9]  
Bastard G., 1988, WAVE MECH APPL SEMIC
[10]   Algebraic construction of the coherent states of the Morse potential based on supersymmetric quantum mechanics [J].
Benedict, MG ;
Molnár, B .
PHYSICAL REVIEW A, 1999, 60 (03) :R1737-R1740