Transcendentally small reflection of waves for problems with/without turning points near infinity: A new uniform approach

DOI10.1063/1.529489zbMath0743.34061OpenAlexW1966563165MaRDI QIDQ3991590

Jishan Hu, Harry Gingold

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529489

zbMATH Keywords

wave reflectiongeneralized Liouville-Green approximationhigh-energy particlesturning point at infinity

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (2)

Asymptotics beyond All Orders for a Certain Type of Nonlinear Oscillators ⋮ Almost diagonal systems of linear difference equations

Cites Work

• Adiabatic variation. I: Exponential property for the simple oscillator
• A rigorous proof of an exponentially small estimate for a boundary value arising from an ordinary differential equation
• Reflection coefficient beyond all orders for singular problems. II: Closed-spaced critical points on the nearest critical level line
• Reflection coefficient beyond all orders for singular problems. I: Separated critical points on the nearest critical level line
• An Asymptotic Decomposition Method Applied to Multi-Turning Point Problems
• Adiabatic Invariance of a Simple Oscillator

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