Published May 27, 2005
| Version v1
Journal article
Self-adjoint extensions and SUSY breaking in supersymmetric quantum mechanics
Creators
- 1. IFLP, CONICET-Departamento de Fisica, Fac. de Ciencias Exactas, UNLP, CC 67 (1900) La Plata (Argentina)
Description
We consider the self-adjoint extensions (SAE) of the symmetric supercharges and Hamiltonian for a model of SUSY quantum mechanics in R+ with a singular superpotential. We show that only for two particular SAE, whose domains are scale invariant, the algebra of N = 2 SUSY is realized, one with manifest SUSY and the other with spontaneously broken SUSY. Otherwise, only the N = 1 SUSY algebra is obtained, with spontaneously broken SUSY and non-degenerate energy spectrum
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/4665/a5_21_011.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/4665/a5_21_011.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/21/011;
- PII
- S0305-4470(05)93234-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 21
- Journal Page Range
- p. 4665-4683
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36095996
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; ENERGY SPECTRA; HAMILTONIANS; POTENTIALS; QUANTUM MECHANICS; RIEMANN SPACE; SUPERSYMMETRY
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; QUANTUM OPERATORS; SPACE; SPECTRA; SYMMETRY