Explicit \(n\)-particle harmonic oscillator states in products of \(SU(1,1)\) representations

DOI10.1142/s0219749924500229MaRDI QIDQ6634643

Noah Kakekaspan, H. de Guise

Publication date: 8 November 2024

Published in: International Journal of Quantum Information (Search for Journal in Brave)

zbMATH Keywords

symmetryharmonic oscillator\(su(1, 1)\)

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

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• Connecting spin and statistics in quantum mechanics
• Generating functions for spherical harmonics and spherical monogenics
• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• Boson Bogolyubov transformation and the \(\text{SU}(1,\,1)\) group.
• Coupling coefficients for Lie algebra representations and addition formulas for special functions
• Where do bosons actually belong?
• Linear Canonical Transformations and Their Unitary Representations

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