Improved higher order phase-integral approximations of the JWKB type in the vicinity of zeros and singularities of the wave number

DOI10.1016/0034-4877(80)90061-0zbMath0474.34052OpenAlexW2065416502MaRDI QIDQ1159318

Andrzej A. Skorupski

Publication date: 1980

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90061-0

zbMATH Keywords

loop integralswave-equationquantum mechanical applications

Mathematics Subject Classification ID

Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (4)

Detailed behavior of the phase-integral approximations at zeros and singularities of the square of the base function ⋮ Efficient integration of the one-dimensional time independent wave equation for bound states and for wave propagation ⋮ Phase integral approximation for coupled ordinary differential equations of the Schrödinger type ⋮ Stokes constants for a singular wave equation

Cites Work

• Unnamed Item
• A direct method for modifying certain phase-integral approximations of arbitrary order
• Computation of a class of functions useful in the phase-integral approximation. I: Results
• The method of comparison equations in the solution of linear second-order differential equations (generalized W.K.B. method)
• The short-wavelength approximation to the Schrödinger equation
• A WKB-Type Approximation to the Schrödinger Equation

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