Étude semi-classique d'observables quantiques

DOI10.5802/afst.618zbMath0597.35028OpenAlexW2332761753MaRDI QIDQ3729412

Xue Ping Wang

Publication date: 1985

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1985_5_7_2_101_0

zbMATH Keywords

weighted Sobolev spacesSchrödinger equationHamiltonian system\(h\)-pseudo-differential operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) General mathematical topics and methods in quantum theory (81Q99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

Approximation semi-classique de l'equation de Heisenberg. (Semi-classical approximation of the Heisenberg equation) ⋮ Time-decay of scattering solutions and resolvent estimates for semiclassical Schrödinger operators ⋮ Semiclassical estimates on resolvents of Schrödinger operators with homogeneous electric field ⋮ Semiclassical resolvent estimates for \(N\)-body Schrödinger operators ⋮ Limiting Absorption Principle for the Dissipative Helmholtz Equation ⋮ Time-Delay Operators in Semiclassical Limit. II. Short-Range Potentials ⋮ Unnamed Item

Cites Work

• 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
• Calcul fonctionnel sur les opérateurs admissibles et application
• A general calculus of pseudodifferential operators
• A calculus of Fourier integral operators and the global fundamental solution for a Schrödinger equation
• Spectre D'Un hamiltonien quantique et mecanique classique
• The weyl calculus of pseudo-differential operators
• Semi-classical bounds for resolvents of schrödinger operators and asymptotics for scattering phases
• A Class of Bounded Pseudo-Differential Operators
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• Unnamed Item
• Unnamed Item

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