Annular billiards with position-dependent mass

被引：1
|
作者：
Schmidt, Alexandre G. M. [1 ]
机构：
[1] Univ Fed Fluminense, Dept Fis, Inst Ciencias Exatas, BR-27215350 Volta Redonda, RJ, Brazil
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2012年 / 391卷 / 14期
关键词：
Schrodinger equation; Position-dependent mass; Exact solutions; WAVE-PACKET REVIVAL; QUANTUM DYNAMICS; POTENTIALS; OPERATORS; EQUATION;
D O I：
10.1016/j.physa.2012.02.027
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present exact solutions for the position-dependent mass Schrodinger equation (PDMSE) in an annular billiard with impenetrable walls where the mass is allowed to depend on the radial position, i.e., mu = mu(r). Exact wavefunctions are calculated explicitly for four mass distributions. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：3792 / 3796
页数：5
相关论文
共 50 条
  • [1] On the singular position-dependent mass
    Lima, F. C. E.
    Belchior, F. M.
    Almeida, C. A. S.
    PHYSICA SCRIPTA, 2025, 100 (01)
  • [2] The Schrodinger equation with position-dependent mass
    Killingbeck, J. P.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (28)
  • [3] On the position-dependent effective mass Hamiltonian
    Biswas, Kalpana
    Saha, Jyoti Prasad
    Patra, Pinaki
    EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (06):
  • [4] PAULI EQUATION WITH POSITION-DEPENDENT MASS
    Tkachuk, V. M.
    Vakarchuk, S. I.
    JOURNAL OF PHYSICAL STUDIES, 2006, 10 (02): : 81 - 85
  • [5] On position-dependent mass harmonic oscillators
    Cruz y Cruz, S.
    Negro, J.
    Nieto, L. M.
    5TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES QTS5, 2008, 128
  • [6] The kinetic Hamiltonian with position-dependent mass
    Lima, R. M.
    Christiansen, H. R.
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2023, 150
  • [7] On the position-dependent effective mass Hamiltonian
    Kalpana Biswas
    Jyoti Prasad Saha
    Pinaki Patra
    The European Physical Journal Plus, 135
  • [8] Stability of a Duffing oscillator with a position-dependent mass
    Luiz F. Ziebell
    Jason A. C. Gallas
    The European Physical Journal Plus, 138
  • [9] On the Solution of the Schrodinger Equation with Position-Dependent Mass
    Sezgin, Mehmet
    UNIVERSE, 2020, 6 (03)
  • [10] Feynman formulas for particles with position-dependent mass
    M. Gadella
    O. G. Smolyanov
    Doklady Mathematics, 2008, 77 : 120 - 123
12345