Representations of the Lie superalgebra in a Gel'fand–Zetlin basis and Wigner quantum oscillators

DOI10.1088/0305-4470/39/20/010zbMath1099.17005arXivhep-th/0602169OpenAlexW3098929611MaRDI QIDQ5478554

Neli I. Stoilova, Ronald C. King, Joris Van der Jeugt

Publication date: 13 July 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0602169

zbMATH Keywords

Lie superalgebraWigner quantum oscillatorGel'fand-Zetlin

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

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Harmonic oscillators coupled by springs: Discrete solutions as a Wigner quantum system ⋮ SUPERCONFORMAL QUANTUM MECHANICS VIA WIGNER–HEISENBERG ALGEBRA ⋮ Angular momentum decomposition of the three-dimensional Wigner harmonic oscillator ⋮ Harmonic oscillator chains as Wigner quantum systems: Periodic and fixed wall boundary conditions in gl(1|n) solutions

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