Gaussian States for Quantum Systems with Linear Constraints and Quadratic Hamiltonians

Physics – Mathematical Physics

Scientific paper

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50 pages, LaTeX, detailed version of math-ph/0512089 (with all proofs), in Russian

Scientific paper

Different constructions for Hilbert state space for constrained systems are
investigated. Properties of Gaussian states analogous to quantum mechanical
Gaussian wave functions are studied. Their evolution for quadratic Hamiltonian
case are discussed. A notion of Maslov complex germ is introduced for systems
with linear constraints.

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