Polynomial supersymmetry and dynamical symmetries in quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 463-478
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A polynomial generalization of supersymmetry in quantum mechanics is proposed in one and two dimensions. The classification of polynomial suyperalgebras is developed in one dimension. In two dimensions the comprehensive analysis is made for supercharges of second order in derivatives and it is shown that the binomial superalgebra always entails the hidden dynamical symmetry induced by a central charge.
@article{TMF_1995_104_3_a6,
author = {A. A. Andrianov and M. V. Ioffe and D. N. Nishnianidze},
title = {Polynomial supersymmetry and dynamical symmetries in quantum mechanics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {463--478},
publisher = {mathdoc},
volume = {104},
number = {3},
year = {1995},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a6/}
}
TY - JOUR AU - A. A. Andrianov AU - M. V. Ioffe AU - D. N. Nishnianidze TI - Polynomial supersymmetry and dynamical symmetries in quantum mechanics JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1995 SP - 463 EP - 478 VL - 104 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a6/ LA - ru ID - TMF_1995_104_3_a6 ER -
%0 Journal Article %A A. A. Andrianov %A M. V. Ioffe %A D. N. Nishnianidze %T Polynomial supersymmetry and dynamical symmetries in quantum mechanics %J Teoretičeskaâ i matematičeskaâ fizika %D 1995 %P 463-478 %V 104 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a6/ %G ru %F TMF_1995_104_3_a6
A. A. Andrianov; M. V. Ioffe; D. N. Nishnianidze. Polynomial supersymmetry and dynamical symmetries in quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 463-478. http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a6/