Asymptotics of radial wave equations

DOI10.1063/1.531270zbMath0842.35091OpenAlexW2018791054MaRDI QIDQ4873443

James Morehead

Publication date: 29 July 1996

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

Full work available at URL: https://doi.org/10.1063/1.531270

zbMATH Keywords

WKB analysisradial Schrödinger equationLanger modificationWKB wavefunctions

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (6)

Systematic study of α decay half-lives for even–even nuclei within a deformed two-potential approach ⋮ The improved quantization rule and the Langer modification ⋮ Semiclassical approach of Lorentz symmetry breaking effects at a low energy scenario ⋮ Maxwell duality and semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with external fields ⋮ Semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with axial electric fields in a uniformly rotating frame ⋮ Wigner–Weyl correspondence and semiclassical quantization in spherical coordinates

Cites Work

• Accurate numerical solution of the Schrödinger and Dirac wave equations for central fields
• Higher-order JWKB approximations for radial problems. I. Modification of the effective potential
• Algebraic Construction of the Basis for the Irreducible Representations of Rotation Groups and for the Homogeneous Lorentz Group
• On the Connection Formulas and the Solutions of the Wave Equation
• The Generalization of the WKB Method to Radial Wave Equations
• A WKB-Type Approximation to the Schrödinger Equation

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