{ "id": "1008.3333", "version": "v3", "published": "2010-08-18T17:35:47.000Z", "updated": "2010-10-20T08:51:08.000Z", "title": "The Poisson algebra of classical Hamiltonians in field theory and the problem of its quantization", "authors": [ "A. Stoyanovsky" ], "comment": "8 pages", "categories": [ "math-ph", "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.", "revisions": [ { "version": "v3", "updated": "2010-10-20T08:51:08.000Z" } ], "analyses": { "keywords": [ "field theory", "classical hamiltonians", "quantization", "quantum algebra", "quadratic part" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 866004, "adsabs": "2010arXiv1008.3333S" } } }