The semi-classical expansion for a charged particle on a curved space background

DOI10.1063/1.526505zbMath0606.53041OpenAlexW2006248725MaRDI QIDQ3744852

Keith D. Watling, Aubrey Truman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526505

zbMATH Keywords

gauge invariancewave functionsemi-classical expansioncurved space background

Mathematics Subject Classification ID

Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Applications of quantum theory to specific physical systems (81V99) Applications of local differential geometry to the sciences (53B50)

Related Items (8)

Quantum mechanics of charged particles in random electromagnetic fields ⋮ An asymptotic analysis of quantum evolution with electromagnetic fields ⋮ Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation ⋮ First order Feynman-Kac formula ⋮ A phase-space technique for the perturbation expansion of Schrödinger propagators ⋮ Multi-scale semiclassical approximations for Schrödinger propagators on manifolds ⋮ A quantum WKB approximation without classical trajectories ⋮ Gauge invariant asymptotic expansion of Schrödinger propagators on manifolds

Cites Work

• Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials
• Analysis of the Laplacian on a complete Riemannian manifold
• Remarks on convergence of the Feynman path integrals
• Schrödinger and Dirac operators with singular potentials and hyperbolic equations
• Classical mechanics, the diffusion (heat) equation and the Schrödinger equation on a Riemannian manifold
• Classical mechanics, the diffusion (heat) equation, and the Schrödinger equation
• Quantised singularities in the electromagnetic field,

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