Abstract
In the past decade, Flato, Fronsdal, Sternheimer and myself have studied, with increasing generality, deformations of the Poisson bracket structure of classical mechanics and related associative algebra structures. With the corresponding notion of star-product, we have thus obtained a geometrical approach to quantization. The quantization is treated in an autonomous manner as a deformation (with parameter ν = ħ/2i) of the algebraic composition laws of mathematical beings similar to classical observables on phase space.
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© 1988 Kluwer Academic Publishers
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Lichnerowicz, A. (1988). Deformations and Geometric (KMS)-Conditions. In: Cahen, M., Flato, M. (eds) Quantum Theories and Geometry. Mathematical Physics Studies, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3055-1_8
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DOI: https://doi.org/10.1007/978-94-009-3055-1_8
Publisher Name: Springer, Dordrecht
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