Deformation in Phase Space

Details Deformation in Phase Space Deformation in Phase Space

1998-05-18

arxiv.org/abs/math-ph/9805016v1

Physics

Mathematical Physics

29 pages, LaTex 2.09

Scientific paper

We review several procedures of quantization formulated in the framework of (classical) phase space M. These quantization methods consider Quantum Mechanics as a "deformation" of Classical Mechanics by means of the "transformation" of the commutative algebra of smooth functions on M in a new non-commutative algebra. These ideas lead in a natural way to Quantum Groups as deformation (or quantization, in a broad sense) of Poisson-Lie groups, which is also analysed here.

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