Topological expansion and exponential asymptotics in 1D quantum mechanics

DOI10.1088/0305-4470/33/8/304zbMath0985.81033arXivquant-ph/9903097OpenAlexW3103440704MaRDI QIDQ4495976

Stefan Giller

Publication date: 13 August 2000

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9903097

zbMATH Keywords

anharmonic oscillatorBorel summable semiclassical expansionsplane singularity structure

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Ordinary differential equations in the complex domain (34M99)

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