Generalized Harmonic Oscillator and the Schrodinger Equation with Position-Dependent Mass

被引：1

作者：

Ju Guo-Xing ^{[1
]}

Cai Chang-Ying ^{[1
,2
]}

Ren Zhong-Zhou ^{[1
]}

机构：

[1] Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China

[2] Jinggangshan Univ, Dept Phys, Jian 343009, Jiangxi, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2009年 / 51卷 / 05期

基金：

中国国家自然科学基金;

关键词：

generalized harmonic oscillator; Schrodinger equation; position-dependent mass; coherent state; NONZERO MINIMAL UNCERTAINTIES; SUPERSYMMETRIC APPROACH; WAVE-FUNCTION; TRANSFORMATION; HAMILTONIANS; PARTICLE; SYSTEMS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the generalized harmonic oscillator that has both the position-dependent mass and the potential depending on the form of mass function in a more general framework. The explicit expressions of the eigenvalue and eigenfunction for such a system are given, they have the same forms as those for the usual harmonic oscillator with constant mass. The coherent state and its properties for the system with PDM are also discussed. We give the corresponding effective potentials for several mass functions, the systems with such potentials are isospectral to the usual harmonic oscillator.

引用

页码：797 / 802

页数：6

共 50 条

[21] Scattering of position-dependent mass Schrodinger equation with delta potential
Hassanabadi, Hassan
Chung, Won Sang
Zare, Soroush
Alimohammadi, Motahareh
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (03):
[22] An exactly soluble Schrodinger equation with smooth position-dependent mass
Dekar, L
Chetouani, L
Hammann, TF
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (05) : 2551 - 2563
[23] The time independent fractional Schrodinger equation with position-dependent mass
Jamshir, Narges
Lari, Behzad
Hassanabadi, Hassan
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 565
[24] Semiclassical method to Schrodinger equation with position-dependent effective mass
Chen Gang
Xuan Pei-Cai
Chen Zi-Dong
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 46 (01) : 39 - 42
[25] Exact analytic solution of position-dependent mass Schrodinger equation
Rajbongshi, H.
INDIAN JOURNAL OF PHYSICS, 2018, 92 (03) : 357 - 367
[26] Spectrum generating algebras for position-dependent mass oscillator Schrodinger equations
Quesne, C.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (43) : 13107 - 13119
[27] Comment on 'Exact solution of the position-dependent effective mass and angular frequency Schrodinger equation: harmonic oscillator model with quantized confinement parameter'
Quesne, C.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (36)
[28] EXPLICIT SOLUTION OF THE POSITION-DEPENDENT MASS SCHRODINGER EQUATION WITH GORA-WILLIAMS KINETIC ENERGY OPERATOR: CONFINED HARMONIC OSCILLATOR MODEL
Jafarov, E., I
Nagiyev, S. M.
Seyidova, A. M.
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (01): : 327 - 336
[29] Dirac equation with position-dependent effective mass and solvable potentials in the Schrodinger equation
Panahi, H.
Bakhshi, Z.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (17)
[30] SOLVABLE POTENTIALS WITH POSITION-DEPENDENT EFFECTIVE MASS AND CONSTANT MASS SCHRODINGER EQUATION
Panahi, H.
Bakhshi, Z.
ACTA PHYSICA POLONICA B, 2010, 41 (01): : 11 - 21

← 1 2 3 4 5 →