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

Mathematical Physics 2010-10-21 v3 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1008.3333,
  title  = {The Poisson algebra of classical Hamiltonians in field theory and the problem of its quantization},
  author = {A. Stoyanovsky},
  journal= {arXiv preprint arXiv:1008.3333},
  year   = {2010}
}

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8 pages