Hidden supersymmetry in quantum bosonic systems

被引：75
作者：
Correa, Francisco [1 ]
Plyushchay, Mikhail S. [1 ]
机构：
[1] Univ Santiago Chile, Dept Fis, Santiago 2, Chile
来源：
ANNALS OF PHYSICS | 2007年 / 322卷 / 10期
关键词：
hidden bosonized supersymmetry;
D O I：
10.1016/j.aop.2006.12.002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that some simple well-studied quantum mechanical systems without fermion (spin) degrees of freedom display, surprisingly, a hidden supersymmetry. The list includes the bound state Aharonov-Bohm, the Dirac delta and the Poschl-Teller potential problems, in which the unbroken and broken N = 2 supersymmetry of linear and nonlinear (polynomial) forms is revealed. (c) 2007 Published by Elsevier Inc.
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收藏
页码：2493 / 2500
页数：8
相关论文
共 42 条
  • [1] ABRAMOWITZ M, 1990, HDB MATH FUNCTIONS
  • [2] GROUND-STATE OF A SPIN-1-2 CHARGED-PARTICLE IN A 2-DIMENSIONAL MAGNETIC-FIELD
    AHARONOV, Y
    CASHER, A
    [J]. PHYSICAL REVIEW A, 1979, 19 (06): : 2461 - 2462
  • [3] TOPOLOGICAL SINGULARITIES AND SUPERSYMMETRY BREAKING
    AHARONOV, Y
    CASHER, A
    YANKIELOWICZ, S
    [J]. PHYSICAL REVIEW D, 1984, 30 (02): : 386 - 390
  • [4] AHARONOV-BOHM AND BERRY PHASES FOR A QUANTUM CLOUD OF CHARGE
    AHARONOV, Y
    COLEMAN, S
    GOLDHABER, AS
    NUSSINOV, S
    POPESCU, S
    REZNIK, B
    ROHRLICH, D
    VAIDMAN, L
    [J]. PHYSICAL REVIEW LETTERS, 1994, 73 (07) : 918 - 921
  • [5] SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY
    AHARONOV, Y
    BOHM, D
    [J]. PHYSICAL REVIEW, 1959, 115 (03): : 485 - 491
  • [6] AKULOV VP, 1983, TEOR MAT FIZ, V56, P334
  • [7] POTENTIAL SCATTERING, TRANSFER-MATRIX, AND GROUP-THEORY
    ALHASSID, Y
    GURSEY, F
    IACHELLO, F
    [J]. PHYSICAL REVIEW LETTERS, 1983, 50 (12) : 873 - 876
  • [8] HIGHER-DERIVATIVE SUPERSYMMETRY AND THE WITTEN INDEX
    ANDRIANOV, AA
    IOFFE, MV
    SPIRIDONOV, VP
    [J]. PHYSICS LETTERS A, 1993, 174 (04) : 273 - 279
  • [9] Black holes and superconformal mechanics
    Claus, P
    Derix, M
    Kallosh, R
    Kumar, J
    Townsend, PK
    Van Proeyen, A
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (21) : 4553 - 4556
  • [10] QUANTUM SINE-GORDON EQUATION AS MASSIVE THIRRING MODEL
    COLEMAN, S
    [J]. PHYSICAL REVIEW D, 1975, 11 (08): : 2088 - 2097
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