Exact solvability of potentials with spatially dependent effective masses

被引：212
作者：
Dutra, AD
Almeida, CAS
机构：
[1] UNESP, BR-12516410 Guaratingueta, SP, Brazil
[2] Univ Fed Ceara, Dept Fis, Ctr Ciencias, BR-60455760 Fortaleza, Ceara, Brazil
来源：
PHYSICS LETTERS A | 2000年 / 275卷 / 1-2期
基金：
巴西圣保罗研究基金会;
关键词：
D O I：
10.1016/S0375-9601(00)00533-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss the relationship between exact solvability of the Schroedinger equation, due to a spatially dependent mass, and the ordering ambiguity. Some examples show that, even in this case, one can find exact solutions. Furthermore, it is demonstrated that operators with linear dependence on the momentum are nonambiguous. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：25 / 30
页数：6
相关论文
共 42 条
[1]   EXACT QUANTUM-STATISTICAL DYNAMICS OF AN OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND GENERATION OF NONCLASSICAL STATES [J].
AGARWAL, GS ;
KUMAR, SA .
PHYSICAL REVIEW LETTERS, 1991, 67 (26) :3665-3668
[2]   SUPER-LATTICE BAND-STRUCTURE IN THE ENVELOPE-FUNCTION APPROXIMATION [J].
BASTARD, G .
PHYSICAL REVIEW B, 1981, 24 (10) :5693-5697
[3]  
Bastard G., 1992, WAVE MECH APPL SEMIC
[4]   SPACE-CHARGE EFFECTS ON ELECTRON TUNNELING [J].
BENDANIEL, DJ ;
DUKE, CB .
PHYSICAL REVIEW, 1966, 152 (02) :683-+
[5]   QUANTIZATION OF A PARTICLE WITH A FORCE QUADRATIC IN THE VELOCITY [J].
BORGES, JS ;
EPELE, LN ;
FANCHIOTTI, H ;
CANAL, CAG ;
SIMAO, FRA .
PHYSICAL REVIEW A, 1988, 38 (06) :3101-3103
[6]   GREEN-FUNCTIONS THROUGH SO(2, 1) LIE-ALGEBRA IN NONRELATIVISTIC QUANTUM-MECHANICS [J].
BOSCHI, H ;
VAIDYA, AN .
ANNALS OF PHYSICS, 1991, 212 (01) :1-27
[7]   QUANTUM MOTION IN A PAUL TRAP [J].
BROWN, LS .
PHYSICAL REVIEW LETTERS, 1991, 66 (05) :527-529
[8]   Form of the quantum kinetic-energy operator with spatially varying effective mass [J].
Cavalcante, FSA ;
Costa, RN ;
Ribeiro, J ;
Almeida, CAS ;
Freire, VN .
PHYSICAL REVIEW B, 1997, 55 (03) :1326-1328
[9]   HAMILTONIAN OPERATORS VIA FEYNMAN PATH INTEGRALS [J].
COHEN, L .
JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (11) :3296-&
[10]   HARMONIC-OSCILLATOR WITH STRONGLY PULSATING MASS [J].
COLEGRAVE, RK ;
ABDALLA, MS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (05) :1549-1559
12345