A quantum WKB approximation without classical trajectories

DOI10.1063/1.528157zbMath0672.35064OpenAlexW1975981893MaRDI QIDQ3825447

F. H. Molzahn

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528157

zbMATH Keywords

WKB approximationtime evolutionseries representationscalar interactioncoherent statespinless nonrelativistic quantum system

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations in context of PDEs (35B20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

An asymptotic analysis of quantum evolution with electromagnetic fields, Error estimates for approximate solutions of the Riccati equation with real or complex potentials

Cites Work

• Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
• Remarks on convergence of the Feynman path integrals
• The semiclassical expansion
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• The semiclassical limit of quantum dynamics. I. Time evolution
• On the WKB approximation to the propagator for arbitrary Hamiltonians
• Quantum systems with external electromagnetic fields: The large mass asymptotics
• Some Remarks Concerning Schrödinger's Wave Equation