Asymptotic (short-wave) equivalence of one-dimensional Schrodinger equations by formal canonical transformations and its generalizations

DOI10.1088/0305-4470/24/19/013zbMath0756.34086OpenAlexW2086846503MaRDI QIDQ3994211

Simonetta Cavalli, Vincenzo Aquilanti, Mikhail B. Sevryuk

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/24/19/013

zbMATH Keywords

turning pointsasymptotic equivalencetransformation matricesshort-wave (semiclassical) equivalencesystems of two ordinary first-order differential equationstime- independent one-dimensional Schrödinger equations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic properties of solutions to ordinary differential equations (34D05)

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