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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 1, Pages 5–26
DOI: https://doi.org/10.4213/tmf8977 (Mi tmf8977) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics

A. A. Andrianov, A. V. Sokolov

Saint Petersburg State University, Saint Petersburg, Russia
Full-text PDF (516 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8977
Abstract: We study properties of nonlinear supersymmetry algebras realized in the one-dimensional quantum mechanics of matrix systems. Supercharges of these algebras are differential operators of a finite order in derivatives. In special cases, there exist independent supercharges realizing an (extended) supersymmetry of the same super-Hamiltonian. The extended supersymmetry generates hidden symmetries of the super-Hamiltonian. Such symmetries have been found in models with $(2{\times}2)$-matrix potentials.
Keywords: matrix Hamiltonian, extended supersymmetry algebra, hidden symmetry.
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 1, Pages 2–20
DOI: https://doi.org/10.1134/S0040577916010025
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Andrianov, A. V. Sokolov, “Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics”, TMF, 186:1 (2016), 5–26; Theoret. and Math. Phys., 186:1 (2016), 2–20
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v186/i1/p5
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:76
    First page:43
     
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