A Groenewold-Van Hove Theorem for $S^2$

DOI10.1090/S0002-9947-96-01559-0zbMath0856.58016arXivdg-ga/9502008OpenAlexW1888399526MaRDI QIDQ4889972

C. A. Hurst, Mark J. Gotay, Hendrik B. G. S. Grundling

Publication date: 3 March 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9502008

zbMATH Keywords

quantizationPoisson algebra

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) Geometric quantization (53D50)

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Uses Software

• NCAlgebra

Cites Work

• The physics of phase spaces. Nonlinear dynamics and chaos, geometric quantization, and Wigner function. Proceedings of the First International Conference on the Physics of Phase Spaces, Held at the University of Maryland, College Park, Maryland, May 20-23, 1986
• Functorial geometric quantization and Van Hove's theorem
• Deformation quantization of Heisenberg manifolds
• Derivations of Lie brackets and canonical quantisation
• Harmonic Analysis in Phase Space. (AM-122)
• Generalized Bergman kernels and geometric quantization
• On the principles of elementary quantum mechanics
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