Characters and contact transformations

DOI10.1017/S0305004100058928zbMath0476.46052MaRDI QIDQ3933466

Keith C. Hannabuss

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

stationary statesharmonic oscillatorenergy levelsaffine contact transformation of a symplectic space

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Applications of selfadjoint operator algebras to physics (46L60) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99)

Related Items (6)

The Weyl transformation and quantisation for locally compact abelian groups ⋮ Weyl quantization and star products ⋮ METAPLECTIC REPRESENTATION, CONLEY–ZEHNDER INDEX, AND WEYL CALCULUS ON PHASE SPACE ⋮ Metaplectic operators for finite Abelian groups and \(\mathbb R^d\) ⋮ Unnamed Item ⋮ On the Weyl representation of metaplectic operators

Cites Work

• Unitary representations of group extensions. I
• Representation of nilpotent locally compact groups
• Multipliers on Abelian groups
• \(C^ *\)-algèbres des systèmes canoniques. I
• Twisted group algebras I, II
• Sur certains groupes d'opérateurs unitaires
• Mathematical Aspects of the Weyl Correspondence

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