In the previous post we described the Heisenberg picture of quantum mechanics, which can be phrased quite generally as follows: given a noncommutative algebra (the algebra of observables of some quantum system) and a Hamiltonian , we obtain a derivation , which is (up to some scalar multiple) the infinitesimal generator of time evolution. This [...]
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Poisson algebras and the classical limit
Posted in abstract algebra, classical mechanics, homological algebra, Lie theory, quantum mechanics, tagged deformation quantization, Hochschild cohomology, Poisson geometry on August 14, 2011 | Leave a Comment »
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