On supersymmetries in nonrelativistic quantum mechanics

Details On supersymmetries in nonrelativistic quantum mechanics On supersymmetries in nonrelativistic quantum mechanics

2005-08-10

arxiv.org/abs/math-ph/0508021v1

J. Math. Phys., 1992, V. 33, N 1, 152-160

Physics

Mathematical Physics

13 pages

Scientific paper

10.1063/1.529954

One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out. The study of even supersymmetries is particularly enlightened through the already known symmetries of the corresponding Schr\"odinger equation. Three tables collect the even, odd, and total supersymmetries as well as the invariance (super)algebras.

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