Regularization of the WKB integrals

DOI10.1088/0305-4470/33/37/311zbMath1008.81024OpenAlexW2024927256MaRDI QIDQ4520694

G. A. Dobrovolsky, R. S. Tutik

Publication date: 13 December 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/33/37/311

zbMATH Keywords

bound state problemhigher-order Wentzel-Kramers-Brillouin integralsreal-analytic potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (6)

Langer–Cherry derivation of the multi-instanton expansion for the symmetric double well ⋮ Evaluation of correlation functions and wave-functions of the Gaussian random potentials by numerical shooting method ⋮ An alternative approach to energy eigenvalue problems of anharmonic potentials ⋮ Application of the asymptotic Taylor expansion method to bistable potentials ⋮ A new asymptotic energy expansion method ⋮ Analytic semiclassical energy expansions of general polynomial potentials

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