On a Full Quantization of the Torus

Mark J. Gotay
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Mark J. Gotay: University of Hawai’i, Department of Mathematics

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 55-62 from Springer

Abstract: Abstract I exhibit a prequantization of the torus which is actually a “full” quantization in the sense that a certain minimal complete set of classical observables is irreducibly represented. Thus in this instance there is no Groenewold-Van Hove obstruction to quantization.

Keywords: Heisenberg Group; Symplectic Manifold; Quantum Hall Effect; Geometric Quantization; Poisson Algebra (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4899-1060-8_6

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