NEUTRON IN THE MAGNETIC-FIELD OF A LINEAR CONDUCTOR WITH CURRENT AS AN EXAMPLE OF THE 2-DIMENSIONAL SUPERSYMMETRIC PROBLEM

被引:32
作者
VORONIN, AI
机构
[1] Institute of Chemical Physics, Academy of Sciences of the U.S.S.R., 142432 Chernogolovka, Moscow
来源
PHYSICAL REVIEW A | 1991年 / 43卷 / 01期
关键词
D O I
10.1103/PhysRevA.43.29
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The exact solution is presented for the quantum-mechanical problem of a neutron interacting with the magnetic field of a linear conductor with current. It is shown that this problem has a supersymmetry. The energy spectrum and eigenfunctions are derived in a closed form using this supersymmetry.
引用
收藏
页码:29 / 34
页数:6
相关论文
共 12 条
  • [1] [Anonymous], 1996, TABLES INTEGRALS SER
  • [2] BOUND-STATES OF NEUTRONS IN THE CYLINDRICALLY SYMMETRIC MAGNETIC-FIELD OF A THIN CURRENT-CARRYING WIRE
    BLUMEL, R
    DIETRICH, K
    [J]. PHYSICS LETTERS A, 1989, 139 (5-6) : 236 - 240
  • [3] BLUMEL R, COMMUNICATION
  • [4] RELATIONSHIP BETWEEN SUPERSYMMETRY AND SOLVABLE POTENTIALS
    COOPER, F
    GINOCCHIO, JN
    KHARE, A
    [J]. PHYSICAL REVIEW D, 1987, 36 (08): : 2458 - 2473
  • [5] ASPECTS OF SUPERSYMMETRIC QUANTUM-MECHANICS
    COOPER, F
    FREEDMAN, B
    [J]. ANNALS OF PHYSICS, 1983, 146 (02) : 262 - 288
  • [6] EXPLICIT WAVEFUNCTIONS FOR SHAPE-INVARIANT POTENTIALS BY OPERATOR TECHNIQUES
    DABROWSKA, JW
    KHARE, A
    SUKHATME, UP
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (04): : L195 - L200
  • [7] Erdelyi A, 1953, HIGHER TRANSCENDENTA, VII
  • [8] GENDENSHTEIN LE, 1983, JETP LETT+, V38, P356
  • [9] WEAK SYMMETRY OF LINEAR-DIFFERENTIAL OPERATORS
    POLUYANOV, LV
    VORONIN, AI
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (11): : 2019 - 2031
  • [10] PRONKO GP, 1977, ZH EKSP TEOR FIZ+, V72, P2048