POLYNOMIAL SUPERSYMMETRY AND DYNAMICAL SYMMETRIES IN QUANTUM-MECHANICS

Authors
ANDRIANOV AA IOFFE MV NISHNIANIDZE DN
Citation
Aa. Andrianov et al., POLYNOMIAL SUPERSYMMETRY AND DYNAMICAL SYMMETRIES IN QUANTUM-MECHANICS, Theoretical and mathematical physics, 104(3), 1995, pp. 1129-1140
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
104
Issue
3
Year of publication
1995
Pages
1129 - 1140
Database
ISI
SICI code
0040-5779(1995)104:3<1129:PSADSI>2.0.ZU;2-3
Abstract
A polynomial generalization of supersymmetry in quantum mechanics in o ne and two dimensions is proposed. Polynomial superalgebras in one dim ension are classified. In two dimensions, a detailed analysis is made for supercharges of second order with respect to derivatives and it is shown that in all cases the binomial superalgebra leads to hidden dyn amical symmetry generated by the central charge.