Langer’s method for weakly bound states of the Helmholtz equation with symmetric profiles

DOI10.1063/1.525266zbMath0512.34046OpenAlexW2035333482MaRDI QIDQ4751033

George L. Johnston

Publication date: 1982

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

Full work available at URL: http://hdl.handle.net/1721.1/94721

zbMATH Keywords

Helmholtz equationturning pointsLanger's methodsymmetric Epstein profileweakly bound statesWKB eigenvalue condition

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Linear vibration theory (70J99) Ordinary differential operators (34L99)

Cites Work

• Calculation of reflection and transmission coefficients for a class of one-dimensional wave propagation problems in inhomogeneous media
• A WKB-Type Approximation to the Schrödinger Equation

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