An asymptotic analysis of quantum evolution with electromagnetic fields

DOI10.1063/1.529354zbMath0736.35093OpenAlexW2014700597MaRDI QIDQ3981655

F. H. Molzahn, Anshu Saksena, T. A. Osborn

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529354

zbMATH Keywords

Schrödinger initial value problemevolution equations in Banach spacessingular perturbation expansion of solutions

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Equations in function spaces; evolution equations (58D25)

Related Items

A phase-space technique for the perturbation expansion of Schrödinger propagators, Multi-scale semiclassical approximations for Schrödinger propagators on manifolds

Cites Work

• Gauge invariant asymptotic expansion of Schrödinger propagators on manifolds
• Time evolution kernels: uniform asymptotic expansions
• The semi-classical expansion for a charged particle on a curved space background
• A quantum WKB approximation without classical trajectories
• On the Quantum Correction For Thermodynamic Equilibrium
• Quantum systems with external electromagnetic fields: The large mass asymptotics
• Quantum Statistics of Almost Classical Assemblies
• The stationary phase method and pseudodifferential operators