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Polynomial supersymmetry and dynamical symmetries in quantum mechanics. / Andrianov, A. A.; Ioffe, M. V.; Nishnianidze, D. N.

In: Theoretical and Mathematical Physics, Vol. 104, No. 3, 01.01.1995, p. 1129-1140.

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

Harvard

Andrianov, AA, Ioffe, MV & Nishnianidze, DN 1995, 'Polynomial supersymmetry and dynamical symmetries in quantum mechanics', Theoretical and Mathematical Physics, vol. 104, no. 3, pp. 1129-1140. https://doi.org/10.1007/BF02068745

APA

Andrianov, A. A., Ioffe, M. V., & Nishnianidze, D. N. (1995). Polynomial supersymmetry and dynamical symmetries in quantum mechanics. Theoretical and Mathematical Physics, 104(3), 1129-1140. https://doi.org/10.1007/BF02068745

Vancouver

Andrianov AA, Ioffe MV, Nishnianidze DN. Polynomial supersymmetry and dynamical symmetries in quantum mechanics. Theoretical and Mathematical Physics. 1995 Jan 1;104(3):1129-1140. https://doi.org/10.1007/BF02068745

Author

Andrianov, A. A. ; Ioffe, M. V. ; Nishnianidze, D. N. / Polynomial supersymmetry and dynamical symmetries in quantum mechanics. In: Theoretical and Mathematical Physics. 1995 ; Vol. 104, No. 3. pp. 1129-1140.

BibTeX

@article{fc3da719c103436fa501280929801fe9,
title = "Polynomial supersymmetry and dynamical symmetries in quantum mechanics",
abstract = "A polynomial generalization of supersymmetry in quantum mechanics in one and two dimensions is proposed. Polynomial superalgebras in one dimension are classified. In two dimensions, a detailed analysis is made for supercharges of second order with respect to derivatives and it is shown that in all cases the binomial superalgebra leads to hidden dynamical symmetry generated by the central charge.",
author = "Andrianov, {A. A.} and Ioffe, {M. V.} and Nishnianidze, {D. N.}",
year = "1995",
month = jan,
day = "1",
doi = "10.1007/BF02068745",
language = "English",
volume = "104",
pages = "1129--1140",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Polynomial supersymmetry and dynamical symmetries in quantum mechanics

AU - Andrianov, A. A.

AU - Ioffe, M. V.

AU - Nishnianidze, D. N.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - A polynomial generalization of supersymmetry in quantum mechanics in one and two dimensions is proposed. Polynomial superalgebras in one dimension are classified. In two dimensions, a detailed analysis is made for supercharges of second order with respect to derivatives and it is shown that in all cases the binomial superalgebra leads to hidden dynamical symmetry generated by the central charge.

AB - A polynomial generalization of supersymmetry in quantum mechanics in one and two dimensions is proposed. Polynomial superalgebras in one dimension are classified. In two dimensions, a detailed analysis is made for supercharges of second order with respect to derivatives and it is shown that in all cases the binomial superalgebra leads to hidden dynamical symmetry generated by the central charge.

UR - http://www.scopus.com/inward/record.url?scp=21344473090&partnerID=8YFLogxK

U2 - 10.1007/BF02068745

DO - 10.1007/BF02068745

M3 - Article

AN - SCOPUS:21344473090

VL - 104

SP - 1129

EP - 1140

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 42870645