Irreducible Representations of the Semidirect-Product Group Kn = An : Sn and the Harmonic-Oscillator Shell Model

DOI10.1063/1.1664622zbMath0176.55202OpenAlexW2030299443MaRDI QIDQ5569076

Peter Kramer

Publication date: 1968

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

Full work available at URL: https://doi.org/10.1063/1.1664622

zbMATH Keywords

symmetries in microphysics

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Degeneracy of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-Dimensional, Isotropic, Harmonic Oscillator
• Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations
• Group theory of harmonic oscillators
• The crystallographic point groups as semi-direct products
• On the Representations of the Semisimple Lie Groups. II
• Bases for the Irreducible Representations of the Unitary Groups and Some Applications
• Group theory of harmonic oscillators (III). States with permutational symmetry
• Finite and Disconnected Subgroups of SU3 and their Application to the Elementary-Particle Spectrum
• Gelfand States and the Irreducible Representations of the Symmetric Group
• Imprimitivity for Representations of Locally Compact Groups I

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