Exact solution of the Schrodinger equation for the modified Kratzer's molecular potential with position-dependent mass

被引：31

作者：

Sever, Ramazan ^{[1
]}

Tezcan, Cevdet ^{[2
]}

机构：

[1] Middle E Tech Univ, Dept Phys, TR-06531 Ankara, Turkey

[2] Baskent Univ, Fac Engn, TR-06490 Ankara, Turkey

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS E | 2008年 / 17卷 / 07期

关键词：

Morse potential; Kratzer potential; position-dependent mass; point canonical transformation; effective mass Schrodinger equation;

D O I：

10.1142/S0218301308010428

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Exact solutions of Schrodinger equation are obtained for the modified Kratzer and the corrected Morse potentials with the position-dependent effective mass. The bound state energy eigenvalues and the corresponding eigenfunctions are calculated for any angular momentum for target potentials. Various forms of point canonical transformations are applied.

引用

页码：1327 / 1334

页数：8

共 50 条

[1] Nonrelativistic Green's function for systems with position-dependent mass [J].

Alhaidari, AD .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (12) :2999-3009

[2]

ALHAIDARI AD, 2003, PHYS REV A, V66

[3]

Arias F., 1997, PHYS REV B, V50, P4248

[4] Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass [J].

Bagchi, B ;

Banerjee, A ;

Quesne, C ;

Tkachuk, VM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (13) :2929-2945

[5] A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials [J].

Bagchi, B ;

Gorain, P ;

Quesne, C ;

Roychoudhury, R .

MODERN PHYSICS LETTERS A, 2004, 19 (37) :2765-2775

[6] Effective-mass Schrodinger equation and generation of solvable potentials [J].

Bagchi, B ;

Gorain, P ;

Quesne, C ;

Roychoudhury, R .

CZECHOSLOVAK JOURNAL OF PHYSICS, 2004, 54 (10) :1019-1025

[7] 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

[8] MAGNETIC RESONANCES BETWEEN MASSIVE AND MASSLESS SPIN-1/2 PARTICLES WITH MAGNETIC-MOMENTS [J].

BARUT, AO .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (03) :568-570

[9] NARROW RESONANCES AS AN EIGENVALUE PROBLEM AND APPLICATIONS TO HIGH-ENERGY MAGNETIC RESONANCES - AN EXACTLY SOLUBLE MODEL [J].

BARUT, AO ;

BERRONDO, M ;

GARCIACALDERON, G .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (07) :1851-1855

[10]

BASTARD G, 1989, WAVE MECH APPL HETER

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