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Minimal realizations of supersymmetry for matrix Hamiltonians. / Andrianov, A.A.; Sokolov, A.V.

In: Physics Letters A, Vol. 379, No. 4, 2015, p. 279-283.

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Harvard

Andrianov, AA & Sokolov, AV 2015, 'Minimal realizations of supersymmetry for matrix Hamiltonians', Physics Letters A, vol. 379, no. 4, pp. 279-283. https://doi.org/10.1016/j.physleta.2014.11.052

APA

Andrianov, A. A., & Sokolov, A. V. (2015). Minimal realizations of supersymmetry for matrix Hamiltonians. Physics Letters A, 379(4), 279-283. https://doi.org/10.1016/j.physleta.2014.11.052

Vancouver

Andrianov AA, Sokolov AV. Minimal realizations of supersymmetry for matrix Hamiltonians. Physics Letters A. 2015;379(4):279-283. https://doi.org/10.1016/j.physleta.2014.11.052

Author

Andrianov, A.A. ; Sokolov, A.V. / Minimal realizations of supersymmetry for matrix Hamiltonians. In: Physics Letters A. 2015 ; Vol. 379, No. 4. pp. 279-283.

BibTeX

@article{3ff292561cc84aa19e211b6d14a8faf2,
title = "Minimal realizations of supersymmetry for matrix Hamiltonians",
abstract = "The notions of weak and strong minimizability of a matrix intertwining operator are introduced. Criterion of strong minimizability of a matrix intertwining operator is revealed. Criterion and sufficient condition of existence of a constant symmetry matrix for a matrix Hamiltonian are presented. A method of constructing of a matrix Hamiltonian with a given constant symmetry matrix in terms of a set of arbitrary scalar functions and eigen- and associated vectors of this matrix is offered. Examples of constructing of 2×2 matrix Hamiltonians with given symmetry matrices for the cases of different structure of Jordan form of these matrices are elucidated.",
keywords = "Supersymmetry, Intertwining operator, Matrix non-Hermitian Hamiltonian",
author = "A.A. Andrianov and A.V. Sokolov",
year = "2015",
doi = "10.1016/j.physleta.2014.11.052",
language = "English",
volume = "379",
pages = "279--283",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "4",

}

RIS

TY - JOUR

T1 - Minimal realizations of supersymmetry for matrix Hamiltonians

AU - Andrianov, A.A.

AU - Sokolov, A.V.

PY - 2015

Y1 - 2015

N2 - The notions of weak and strong minimizability of a matrix intertwining operator are introduced. Criterion of strong minimizability of a matrix intertwining operator is revealed. Criterion and sufficient condition of existence of a constant symmetry matrix for a matrix Hamiltonian are presented. A method of constructing of a matrix Hamiltonian with a given constant symmetry matrix in terms of a set of arbitrary scalar functions and eigen- and associated vectors of this matrix is offered. Examples of constructing of 2×2 matrix Hamiltonians with given symmetry matrices for the cases of different structure of Jordan form of these matrices are elucidated.

AB - The notions of weak and strong minimizability of a matrix intertwining operator are introduced. Criterion of strong minimizability of a matrix intertwining operator is revealed. Criterion and sufficient condition of existence of a constant symmetry matrix for a matrix Hamiltonian are presented. A method of constructing of a matrix Hamiltonian with a given constant symmetry matrix in terms of a set of arbitrary scalar functions and eigen- and associated vectors of this matrix is offered. Examples of constructing of 2×2 matrix Hamiltonians with given symmetry matrices for the cases of different structure of Jordan form of these matrices are elucidated.

KW - Supersymmetry

KW - Intertwining operator

KW - Matrix non-Hermitian Hamiltonian

U2 - 10.1016/j.physleta.2014.11.052

DO - 10.1016/j.physleta.2014.11.052

M3 - Article

VL - 379

SP - 279

EP - 283

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 4

ER -

ID: 3924939