The Poisson algebra of classical Hamiltonians in field theory and the problem of its quantization

Details The Poisson algebra of classical Hamiltonians in field theory and the problem of its quantization The Poisson algebra of classical Hamiltonians in field theory and the problem of its quantization

2010-08-18

arxiv.org/abs/1008.3333v3

Physics

Mathematical Physics

8 pages

Scientific paper

We construct the commutative Poisson algebra of classical Hamiltonians in
field theory. We pose the problem of quantization of this Poisson algebra. We
also make some interesting computations in the known quadratic part of the
quantum algebra.

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