Normal forms, inner products, and Maslov indices of general multimode squeezings

DOI10.1134/S0001434614050149zbMath1312.81097arXiv1405.2473OpenAlexW1972445109MaRDI QIDQ2342030

T. V. Tlyachev, Alexander M. Chebotarev

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2473

zbMATH Keywords

canonical transformationsecond quantizationMaslov indexnormal orderingmultimode squeezing

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Quantum measurement theory, state operations, state preparations (81P15) Lagrangian submanifolds; Maslov index (53D12)

Related Items (4)

Recent developments in combinatorial aspects of normal ordering ⋮ Dynamics of moments for quadratic GKSL generators ⋮ Irreversible quantum evolution with quadratic generator: Review ⋮ The non-linear and quadratic quantization programs

Cites Work

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• Isotropic tori, complex germ and Maslov index, normal forms and quasimodes of multidimensional spectral problems

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