Solution of second order supersymmetrical intertwining relations in Minkowski plane

Journal Article · Mon Aug 15 00:00:00 EDT 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4960473· OSTI ID:22596518

Ioffe, M. V., E-mail: [e-mail]; Kolevatova, E. V., E-mail: [e-mail] ^[1]; Nishnianidze, D. N., E-mail: [e-mail] ^[1]; Akaki Tsereteli State University, 4600 Kutaisi, Georgia ^[2]

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1. Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034 (Russian Federation)
2. (United States)

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.

• OSTI ID: 22596518
• Journal Information: Journal of Mathematical Physics, Vol. 57, Issue 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
HAMILTONIANS
MATHEMATICAL SOLUTIONS
MATRICES
MINKOWSKI SPACE
NONLINEAR PROBLEMS
SUPERSYMMETRY