Gaussian States for Quantum Systems with Linear Constraints and Quadratic Hamiltonians

2008/12/25 by O. Yu. Shvedov, Shvedov, O. Yu.
Mathematics · Physics and Astronomy · #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0812.4629

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

arxiv created 2008/12/25 · arxiv updated 2009/12/01

Abstract

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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