A quantummechanical derivation of the eigenvalues of the quadratic Casimir operator of the algebra \(SU (n)\) in Young tableau representation

DOI10.1016/J.PHYSLETA.2019.01.039zbMath1472.81095OpenAlexW2914075497MaRDI QIDQ822944

Éva Szőke

Publication date: 24 September 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2019.01.039

zbMATH Keywords

eigenvaluesYoung tableauCasimir\(SU(n)\)

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

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• Algebraic models for shell-like quarteting of nucleons
• Eigenvalues of the Casimir Operators ofU(n) andSU(n) for Totally Symmetric and Antisymmetric Representations
• Optimally defined Racah–Casimir operators for su(n) and their eigenvalues for various classes of representations
• su(n) and sp(2n) WZW fusion rules
• BROKEN UNITARY SYMMETRIES AND FERMI–DIRAC STATISTICS
• An explicit construction of Casimir operators and eigenvalues. I
• Logarithmic corrections to finite-size spectrum ofSU(N) symmetric quantum chains

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