Solution of second order supersymmetrical intertwining relations in Minkowski plane

Supersymmetrical (SUSY) intertwining relations are generalized to the case of quantum Hamiltonians in Minkowski space. For intertwining operators (supercharges) of second order in derivatives, the intertwined Hamiltonians correspond to completely integrable systems with the symmetry operators of fou...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2016-08, Vol.57 (8), p.1
Main Authors: Ioffe, M. V., Kolevatova, E. V., Nishnianidze, D. N.
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
HAMILTONIANS
MATHEMATICAL SOLUTIONS
Mathematics
MATRICES
Matrix
MINKOWSKI SPACE
NONLINEAR PROBLEMS
SUPERSYMMETRY
Symmetry
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Supersymmetrical (SUSY) intertwining relations are generalized to the case of quantum Hamiltonians in Minkowski space. For intertwining operators (supercharges) of second order in derivatives, the intertwined Hamiltonians correspond to completely integrable systems with the symmetry operators of fourth order in momenta. In terms of components, the intertwining relations correspond to the system of nonlinear differential equations which are solvable with the simplest—constant—ansatzes for the “metric” matrix in second order part of the supercharges. The corresponding potentials are built explicitly both for diagonalizable and nondiagonalizable form of “metric” matrices, and their properties are discussed.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4960473