The Stokes constants for a cluster of transition points

DOI10.1017/S0305004100065336zbMath0719.34009OpenAlexW2148389443MaRDI QIDQ5751151

Per Olof Fröman, Nanny Fröman, Bengt Lundborg

Publication date: 1988

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100065336

zbMATH Keywords

transition pointsconnection problemsone-dimensional Schrödinger equationStokes constantisolated cluster

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Ordinary differential equations in the complex domain (34M99)

Related Items (7)

The Stokes constants associated with the differential equation d2ψ/dz2−4A2z n−2(z n+c)ψ=0 ⋮ Phase-integral formulas for quantal matrix elements ⋮ Quantal two-center Coulomb problem treated by means of the phase-integral method. I. General theory ⋮ Black-hole normal modes: Phase-integral treatment ⋮ Phase-integral formulas for Coulomb wave functions with complex values of the variable and the parameters ⋮ Wave propagation in complex systems of cutoffs and resonances ⋮ Stokes constants for a singular wave equation

Cites Work

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• 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
• Gradual Reflection of Short Waves
• Connection Formulas for Second-Order Differential Equations with Multiple Turning Points
• Connection Formulas for Second-Order Differential Equations Having an Arbitrary Number of Turning Points of Arbitrary Multiplicities
• GLOBAL PHASE-INTEGRAL METHODS
• General connection formulae for Liouville-Green approximations in the complex plane

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