Higher order terms for the quantum evolution of a Wick observable within the Hepp method

DOI10.4067/S0719-06462012000200006zbMATH Open1254.81063arXiv1102.4018OpenAlexW2150789144MaRDI QIDQ2915811

Publication date: 18 September 2012

Published in: Cubo (Temuco) (Search for Journal in Brave)

Abstract: The Hepp method is the coherent state approach to the mean field dynamics for bosons or to the semiclassical propagation. A key point is the asymptotic evolution of Wick observables under the evolution given by a time-dependent quadratic Hamiltonian. This article provides a complete expansion with respect to the small parameter epsilon > 0 which makes sense within the infinite-dimensional setting and fits with finite-dimensional formulae.

Full work available at URL: https://arxiv.org/abs/1102.4018

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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