Approximation semi-classique de l'equation de Heisenberg. (Semi-classical approximation of the Heisenberg equation)

DOI10.1007/BF01210793zbMath0611.35085MaRDI QIDQ1087749

Xue Ping Wang

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

pseudo-differential operatorssemi-classical approximationHeisenberg equationEgorov's theoremnon-bounded observablesquantum mechanical correlation functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (10)

Time-decay of scattering solutions and resolvent estimates for semiclassical Schrödinger operators ⋮ Long time semiclassical Egorov theorem for ℏ-pseudodifferential systems ⋮ Phase-space description of time-delay in scattering theory ⋮ Semiclassical estimates on resolvents of Schrödinger operators with homogeneous electric field ⋮ Unnamed Item ⋮ Limiting Absorption Principle for the Dissipative Helmholtz Equation ⋮ Time-Delay Operators in Semiclassical Limit. II. Short-Range Potentials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• A construction of the fundamental solution for the Schrödinger equation
• Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials
• Classical limits for quantum particles in external Yang-Mills potentials
• The classical limit of quantum partition functions
• A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
• Étude semi-classique d'observables quantiques
• Spectre D'Un hamiltonien quantique et mecanique classique
• Semi-classical bounds for resolvents of schrödinger operators and asymptotics for scattering phases

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