Solution of second order supersymmetrical intertwining relations in Minkowski plane

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Solution of second order supersymmetrical intertwining relations in Minkowski plane. / Ioffe, M. V.; Kolevatova, E. V.; Nishnianidze, D. N.

In: Journal of Mathematical Physics, Vol. 57, No. 8, 082102, 2016.

Research output: Contribution to journal › Article › peer-review

Author

Ioffe, M. V. ; Kolevatova, E. V. ; Nishnianidze, D. N. / Solution of second order supersymmetrical intertwining relations in Minkowski plane. In: Journal of Mathematical Physics. 2016 ; Vol. 57, No. 8.

BibTeX

@article{968dc7de115a40489f911f1b3eceaa69,

title = "Solution of second order supersymmetrical intertwining relations in Minkowski plane",

abstract = "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 itertwining 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.",

author = "Ioffe, {M. V.} and Kolevatova, {E. V.} and Nishnianidze, {D. N.}",

year = "2016",

doi = "10.1063/1.4960473",

language = "English",

volume = "57",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "8",

}

RIS

TY - JOUR

T1 - Solution of second order supersymmetrical intertwining relations in Minkowski plane

AU - Ioffe, M. V.

AU - Kolevatova, E. V.

AU - Nishnianidze, D. N.

PY - 2016

Y1 - 2016

N2 - 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 itertwining 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.

AB - 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 itertwining 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.

UR - http://www.scopus.com/inward/record.url?scp=84981512930&partnerID=8YFLogxK

U2 - 10.1063/1.4960473

DO - 10.1063/1.4960473

M3 - Article

VL - 57

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 8

M1 - 082102

ER -

ID: 7578466