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Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians. / Andrianov, A. A.; Ioffe, M. V.; Nishnianidze, D. N.

In: Journal of Mathematical Sciences , Vol. 88, No. 2, 01.01.1998, p. 150-158.

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

Harvard

Andrianov, AA, Ioffe, MV & Nishnianidze, DN 1998, 'Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians', Journal of Mathematical Sciences , vol. 88, no. 2, pp. 150-158. https://doi.org/10.1007/BF02364976

APA

Andrianov, A. A., Ioffe, M. V., & Nishnianidze, D. N. (1998). Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians. Journal of Mathematical Sciences , 88(2), 150-158. https://doi.org/10.1007/BF02364976

Vancouver

Andrianov AA, Ioffe MV, Nishnianidze DN. Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians. Journal of Mathematical Sciences . 1998 Jan 1;88(2):150-158. https://doi.org/10.1007/BF02364976

Author

Andrianov, A. A. ; Ioffe, M. V. ; Nishnianidze, D. N. / Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians. In: Journal of Mathematical Sciences . 1998 ; Vol. 88, No. 2. pp. 150-158.

BibTeX

@article{4bd2e370768145099916f2fec61b3806,
title = "Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians",
abstract = "A new method of finding the dynamic symmetry 'operators in two-dimensional quantum systems is proposed. This method is based on the SUSY algebra with superchanges of higher order in derivatives. The symmetry operators arise when closing the SUSY algebra for a wide class of potentials, and, in some cases, they are of second order in derivatives. The solutions for potentials admitting symmetry operators of fourth order are also obtained. The investigation of the quasiclassical limit of the superalgebra results in new classical integrals of motion for a certain type of systems.",
author = "Andrianov, {A. A.} and Ioffe, {M. V.} and Nishnianidze, {D. N.}",
year = "1998",
month = jan,
day = "1",
doi = "10.1007/BF02364976",
language = "English",
volume = "88",
pages = "150--158",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians

AU - Andrianov, A. A.

AU - Ioffe, M. V.

AU - Nishnianidze, D. N.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - A new method of finding the dynamic symmetry 'operators in two-dimensional quantum systems is proposed. This method is based on the SUSY algebra with superchanges of higher order in derivatives. The symmetry operators arise when closing the SUSY algebra for a wide class of potentials, and, in some cases, they are of second order in derivatives. The solutions for potentials admitting symmetry operators of fourth order are also obtained. The investigation of the quasiclassical limit of the superalgebra results in new classical integrals of motion for a certain type of systems.

AB - A new method of finding the dynamic symmetry 'operators in two-dimensional quantum systems is proposed. This method is based on the SUSY algebra with superchanges of higher order in derivatives. The symmetry operators arise when closing the SUSY algebra for a wide class of potentials, and, in some cases, they are of second order in derivatives. The solutions for potentials admitting symmetry operators of fourth order are also obtained. The investigation of the quasiclassical limit of the superalgebra results in new classical integrals of motion for a certain type of systems.

UR - http://www.scopus.com/inward/record.url?scp=54749145513&partnerID=8YFLogxK

U2 - 10.1007/BF02364976

DO - 10.1007/BF02364976

M3 - Article

AN - SCOPUS:54749145513

VL - 88

SP - 150

EP - 158

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 41414243