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EXTENDED SUPERSYMMETRY AND HIDDEN SYMMETRIES IN ONE-DIMENSIONAL MATRIX QUANTUM MECHANICS. / Andrianov, A.A.; Sokolov, A.V.
в: Theoretical and Mathematical Physics, Том 186, № 1, 2016, стр. 2-20.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - EXTENDED SUPERSYMMETRY AND HIDDEN SYMMETRIES IN ONE-DIMENSIONAL MATRIX QUANTUM MECHANICS
AU - Andrianov, A.A.
AU - Sokolov, A.V.
PY - 2016
Y1 - 2016
N2 - We study properties of nonlinear supersymmetry algebras realized in the one-dimensional quantum mechanics of matrix systems. Supercharges of these algebras are differential operators of a finite order in derivatives. In special cases, there exist independent supercharges realizing an (extended) supersymmetry of the same super-Hamiltonian. The extended supersymmetry generates hidden symmetries of the super-Hamiltonian. Such symmetries have been found in models with (2×2)-matrix potentials.
AB - We study properties of nonlinear supersymmetry algebras realized in the one-dimensional quantum mechanics of matrix systems. Supercharges of these algebras are differential operators of a finite order in derivatives. In special cases, there exist independent supercharges realizing an (extended) supersymmetry of the same super-Hamiltonian. The extended supersymmetry generates hidden symmetries of the super-Hamiltonian. Such symmetries have been found in models with (2×2)-matrix potentials.
KW - матричный гамильтониан
KW - расширенная алгебра суперсимметрии
KW - скрытая симметрия.
U2 - 10.1134/S0040577916010025
DO - 10.1134/S0040577916010025
M3 - Article
VL - 186
SP - 2
EP - 20
JO - Theoretical and Mathematical Physics (Russian Federation)
JF - Theoretical and Mathematical Physics (Russian Federation)
SN - 0040-5779
IS - 1
ER -
ID: 7549312