Two-Dimensional Supersymmetry: From SUSY Quantum Mechanics to Integrable Classical Models

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dc.creatorIoffe, M. V.
dc.creatorGuilarte, J. Mateos
dc.creatorValinevich, P. A.
dc.date2006-03-01
dc.date.accessioned2026-07-07T10:46:06Z
dc.date.available2026-07-07T10:46:06Z
dc.descriptionTwo known 2-dim SUSY quantum mechanical constructions - the direct generalization of SUSY with first-order supercharges and Higher order SUSY with second order supercharges - are combined for a class of 2-dim quantum models, which {\it are not amenable} to separation of variables. The appropriate classical limit of quantum systems allows us to construct SUSY-extensions of original classical scalar Hamiltonians. Special emphasis is placed on the symmetry properties of the models thus obtained - the explicit expressions of quantum symmetry operators and of classical integrals of motion are given for all (scalar and matrix) components of SUSY-extensions. Using Grassmanian variables, the symmetry operators and classical integrals of motion are written in a unique form for the whole Superhamiltonian. The links of the approach to the classical Hamilton-Jacobi method for related "flipped" potentials are established.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0603006
dc.identifierhttp://arxiv.org/abs/hep-th/0603006
dc.identifierAnnalsPhys.321:2552-2565,2006
dc.identifierdoi:10.1016/j.aop.2006.02.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183124
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleTwo-Dimensional Supersymmetry: From SUSY Quantum Mechanics to Integrable Classical Models
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