COMMENTS ON A FULL QUANTIZATION OF THE TORUS

DOI10.1142/S0217751X98001827zbMath0932.37036arXivhep-th/9704071WikidataQ62501459 ScholiaQ62501459MaRDI QIDQ4261937

José M. Velhinho

Publication date: 29 September 1999

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9704071

zbMATH Keywords

Poisson algebrabounded observablesunbounded spectrum

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Cites Work

• Trigonometric structure constants for new infinite-dimensional algebras
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Deformation quantization of Heisenberg manifolds
• Algebraic quantization, good operators and fractional quantum numbers
• Obstruction results in quantization theory
• Representations of the holonomy algebras of gravity and nonAbelian gauge theories
• An algebraic extension of Dirac quantization: Examples
• A Groenewold-Van Hove Theorem for $S^2$

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