Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
31 (1990), S. 2271-2277
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Classical and quantum nonrelativistic interacting systems invariant under local supersymmetry are constructed by the method of taking square roots of the bosonic constraints that generate timelike reparametrization, leaving the action unchanged. In particular, the square root of the Schrödinger constraint is shown to be the nonrelativistic limit of the Dirac constraint. Contact is made with standard models of supersymmetric quantum mechanics through the reformulation of locally invariant systems in terms of their true degrees of freedom. Contrary to the field theory case, it is shown that locally invariant systems are completely equivalent to corresponding globally invariant systems, where the latter are the Heisenberg picture description of the former with respect to some fermionic time.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528636
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