dorsal/arxiv
View SchemaGeometrical Quantization in Fock Space
| Authors | V. P. Maslov, O. Yu. Shvedov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512012 |
| URL | https://arxiv.org/abs/q-alg/9512012 |
Abstract
We 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.
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"abstract": "We investigate an infinite dimensional analog of the theory of Lagrangian\nmanifolds with complex germs. To such a manifold we assign a canonical operator\nthat depends on creation and annihilation operators. This operator is by\ndefinition the geometrical quantization for these isotropic manifolds with\ncomplex germs. We prove that for secondary quantized equations this\nquantization is the asymptotics for the Cauchy problem. Results of Berezin are\nused thouroughly in the construction of the canonical operator and in proofs of\nthe theorems.",
"arxiv_id": "q-alg/9512012",
"authors": [
"V. P. Maslov",
"O. Yu. Shvedov"
],
"categories": [
"q-alg",
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],
"title": "Geometrical Quantization in Fock Space",
"url": "https://arxiv.org/abs/q-alg/9512012"
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