Geometrical Quantization in Fock Space

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dc.creatorMaslov, V. P.
dc.creatorShvedov, O. Yu.
dc.date1995-12-09
dc.date.accessioned2026-07-07T09:16:46Z
dc.date.available2026-07-07T09:16:46Z
dc.descriptionWe investigate an infinite dimensional analog of the theory of Lagrangian manifolds with complex germs. To such a manifold we assign a canonical operator that depends on creation and annihilation operators. This operator is by definition the geometrical quantization for these isotropic manifolds with complex germs. We prove that for secondary quantized equations this quantization is the asymptotics for the Cauchy problem. Results of Berezin are used thouroughly in the construction of the canonical operator and in proofs of the theorems.
dc.description34 pages, LaTeX, no figures, to appear in Advances in Soviet Mathematics, a Berezin memorial volume
dc.identifierhttps://arxiv.org/abs/q-alg/9512012
dc.identifierhttp://arxiv.org/abs/q-alg/9512012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153469
dc.subjectQuantum Algebra
dc.titleGeometrical Quantization in Fock Space
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