Hidden supersymmetry in quantum bosonic systems

被引：76

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.

引用

页码：2493 / 2500

页数：8

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 [J].

AHARONOV, Y ;

CASHER, A .

PHYSICAL REVIEW A, 1979, 19 (06) :2461-2462

[3] TOPOLOGICAL SINGULARITIES AND SUPERSYMMETRY BREAKING [J].

AHARONOV, Y ;

CASHER, A ;

YANKIELOWICZ, S .

PHYSICAL REVIEW D, 1984, 30 (02) :386-390

[4] AHARONOV-BOHM AND BERRY PHASES FOR A QUANTUM CLOUD OF CHARGE [J].

AHARONOV, Y ;

COLEMAN, S ;

GOLDHABER, AS ;

NUSSINOV, S ;

POPESCU, S ;

REZNIK, B ;

ROHRLICH, D ;

VAIDMAN, L .

PHYSICAL REVIEW LETTERS, 1994, 73 (07) :918-921

[5] SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].

AHARONOV, Y ;

BOHM, D .

PHYSICAL REVIEW, 1959, 115 (03) :485-491

[6]

AKULOV VP, 1983, TEOR MAT FIZ, V56, P334

[7] POTENTIAL SCATTERING, TRANSFER-MATRIX, AND GROUP-THEORY [J].

ALHASSID, Y ;

GURSEY, F ;

IACHELLO, F .

PHYSICAL REVIEW LETTERS, 1983, 50 (12) :873-876

[8] HIGHER-DERIVATIVE SUPERSYMMETRY AND THE WITTEN INDEX [J].

ANDRIANOV, AA ;

IOFFE, MV ;

SPIRIDONOV, VP .

PHYSICS LETTERS A, 1993, 174 (04) :273-279

[9] Black holes and superconformal mechanics [J].

Claus, P ;

Derix, M ;

Kallosh, R ;

Kumar, J ;

Townsend, PK ;

Van Proeyen, A .

PHYSICAL REVIEW LETTERS, 1998, 81 (21) :4553-4556

[10] QUANTUM SINE-GORDON EQUATION AS MASSIVE THIRRING MODEL [J].

COLEMAN, S .

PHYSICAL REVIEW D, 1975, 11 (08) :2088-2097

← 1 2 3 4 5 →