Infinite-dimensional Schrödinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space

DOI10.1007/BF01077087zbMath0784.47045MaRDI QIDQ1200393

Alexei Daletskii

Publication date: 16 January 1993

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic quantization schemeHilbert symplectic spaceinfinite-dimensional casequasi- classical solutions of the Schrödinger equations

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Geometry and quantization, symplectic methods (81S10) Applications of functional analysis in quantum physics (46N50) Geometric quantization (53D50)

Related Items

A construction of commutative rings of differential operators, Algebraic integrability for the Schrödinger equation and finite reflection groups, Asymptotic quantization for solution manifolds of some infinite dimensional Hamiltonian systems, Integrability and Huygens' principle on symmetric spaces

Cites Work

• Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I
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