A. I. Pashnev, “One-dimensional supersymmetric quantum mechanics with $CN\geqslant 2$”, TMF, 69:2 (1986), 311–315; Theoret. and Math. Phys., 69:2 (1986), 1172

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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 69, Number 2, Pages 311–315 (Mi tmf5230)

This article is cited in 14 scientific papers (total in 14 papers)

One-dimensional supersymmetric quantum mechanics with $CN\geqslant 2$

A. I. Pashnev

Full-text PDF (431 kB) Citations (14)

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Abstract: A method is proposed for constructing one-dimensional Hamiltonians with $N$-extended supersymmetry. Explicit expressions are obtained for the Hamiltonians in the cases $N=2$ and $N=3$.

Received: 20.02.1986

English version:
Theoretical and Mathematical Physics, 1986, Volume 69, Issue 2, Pages 1172–1175
DOI: https://doi.org/10.1007/BF01037879

Bibliographic databases:

Language: Russian

Citation: A. I. Pashnev, “One-dimensional supersymmetric quantum mechanics with $CN\geqslant 2$”, TMF, 69:2 (1986), 311–315; Theoret. and Math. Phys., 69:2 (1986), 1172–1175

Citation in format AMSBIB

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\by A.~I.~Pashnev

\paper One-dimensional supersymmetric quantum mechanics with~$CN\geqslant 2$

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\issue 2

\pages 311--315

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=884499}

\transl

\jour Theoret. and Math. Phys.

\yr 1986

\vol 69

\issue 2

\pages 1172--1175

\crossref{https://doi.org/10.1007/BF01037879}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986J382700016}

Linking options:

https://www.mathnet.ru/eng/tmf5230

https://www.mathnet.ru/eng/tmf/v69/i2/p311

This publication is cited in the following 14 articles:

Steven Duplij, “Polyadic Supersymmetry”, Universe, 11:4 (2025), 125
Andrew James Bruce, Steven Duplij, “Double-graded supersymmetric quantum mechanics”, Journal of Mathematical Physics, 61:6 (2020)
Konstantinos Kleidis, Vasilis K. Oikonomou, “Extended Supersymmetric Quantum Mechanics Algebras in Scattering States of Fermions off Domain Walls”, Int J Theor Phys, 54:3 (2015), 933
Oikonomou V.K., “Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics”, Class. Quantum Gravity, 31:2 (2014), 025018
K. Kleidis, V. K. Oikonomou, “Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices”, Int J Theor Phys, 53:8 (2014), 2623
Victor P. Berezovoj, Glib I. Ivashkevych, Mikhail I. Konchatnij, “Multi-Well Potentials in Quantum Mechanics and Stochastic Processes”, SIGMA, 6 (2010), 098, 18 pp.
V. S. Olkhovsky, S. P. Maydanyuk, E. Recami, “Non-self-adjoint operators as observables in quantum theory and nuclear physics”, Phys. Part. Nuclei, 41:4 (2010), 508
Dong Ruan, Weicheng Huang, “General realization of N=4 supersymmetric quantum mechanics and its applications”, Journal of Mathematical Physics, 44:7 (2003), 2787
V.P. Akulov, Sultan Catto, Oktay Cebecioǧlu, A. Pashnev, “On the time-dependent oscillator and the nonlinear realizations of the Virasoro group”, Physics Letters B, 575:1-2 (2003), 137
V.P. Akulov, Oktay Cebecioglu, A. Pashnev, “On the super-conformal quantum mechanics in the nonlinear realizations approach”, Physics Letters B, 562:1-2 (2003), 132
Pijush K Ghosh, “Extended superconformal symmetry and Calogero-Marchioro model”, J. Phys. A: Math. Gen., 34:27 (2001), 5583
Niclas Wyllard, “(Super)conformal many-body quantum mechanics with extended supersymmetry”, Journal of Mathematical Physics, 41:5 (2000), 2826
V. P. Berezovoi, A. I. Pashnev, “One-dimensional extended supersymmetric quantum mechanics”, Theoret. and Math. Phys., 78:2 (1989), 206–211
V. P. Berezovoi, A. I. Pashnev, “$N=2$ supersymmetric quantum mechanics and the inverse scattering problem”, Theoret. and Math. Phys., 74:3 (1988), 264–268

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	164
References:	46
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