A study of the bound states for square potential wells with position-dependent mass

被引：63

作者：

Ganguly, A. ^{[1
]}

Kuru, S. ^{[1
]}

Negro, J. ^{[1
]}

Nieto, L. M. ^{[1
]}

机构：

[1] Univ Valladolid, Dept Fis Teor Atom & Opt, E-47071 Valladolid, Spain

来源：

PHYSICS LETTERS A | 2006年 / 360卷 / 02期

关键词：

D O I：

10.1016/j.physleta.2006.08.032

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A potential well with position-dependent mass is studied for bound states. Applying appropriate matching conditions, a transcendental equation is derived for the energy eigenvalues. Numerical results are presented graphically and the variation of the energy of the bound states are calculated as a function of the well-width and mass. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：228 / 233

页数：6

共 27 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] 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

[3] SUPER-LATTICE BAND-STRUCTURE IN THE ENVELOPE-FUNCTION APPROXIMATION [J].

BASTARD, G .

PHYSICAL REVIEW B, 1981, 24 (10) :5693-5697

[4] SPACE-CHARGE EFFECTS ON ELECTRON TUNNELING [J].

BENDANIEL, DJ ;

DUKE, CB .

PHYSICAL REVIEW, 1966, 152 (02) :683-+

[5]

BIWAS SK, 2005, APPL PHYS LETT, V86, P83101

[6]

CARINENA JF, IN PRESS ANN PHYS

[7] Exact solvability of potentials with spatially dependent effective masses [J].

Dutra, AD ;

Almeida, CAS .

PHYSICS LETTERS A, 2000, 275 (1-2) :25-30

[8] OPERATOR ORDERING IN EFFECTIVE-MASS THEORY FOR HETEROSTRUCTURES .1. COMPARISON WITH EXACT RESULTS FOR SUPERLATTICES, QUANTUM-WELLS, AND LOCALIZED POTENTIALS [J].

EINEVOLL, GT ;

HEMMER, PC ;

THOMSEN, J .

PHYSICAL REVIEW B, 1990, 42 (06) :3485-3496

[9] THE EFFECTIVE-MASS HAMILTONIAN FOR ABRUPT HETEROSTRUCTURES [J].

EINEVOLL, GT ;

HEMMER, PC .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1988, 21 (36) :L1193-L1198

[10]

GADELLA M, UNPUB

← 1 2 3 →