Simple orthogonal and unitary compact quantum systems and the İnönü–Wigner contraction

DOI10.1063/1.527897zbMath0655.22014OpenAlexW2024137586MaRDI QIDQ3801801

A. J. Bracken, Robert J. B. Fawcett

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527897

zbMATH Keywords

contractionLie algebraapproximation schemeboson realizationsCompact quantum dynamicsWeyl-Heisenberg subalgebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Superalgebras (17A70) Lie algebras of Lie groups (22E60) Miscellaneous applications of functional analysis (46N99)

Related Items (3)

Hyperfinite-dimensional representations of canonical commutation relation ⋮ Compact classical systems: so(n) systems ⋮ BORN RECIPROCITY IN TWO DIMENSIONS: QUAPLECTIC GROUP SYMMETRY, BRANCHING RULES AND STATE LABELLING

Cites Work

• Quantum mechanics in a discrete space-time
• Contractions of representations of de Sitter groups
• Geometrical theory of contractions of groups and representations
• General Theory of Spin-Wave Interactions
• Contraction of Lie Groups
• Compact quantum systems: Internal geometry of relativistic systems
• Wigner quantum systems. Two particles interacting via a harmonic potential. I. Two-dimensional space

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