Efficient formulas for the Maslov canonical operator near a simple caustic

DOI10.1134/S106192081804012XzbMath1406.81036OpenAlexW2904092330WikidataQ128701997 ScholiaQ128701997MaRDI QIDQ1714010

S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii

Publication date: 30 January 2019

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

Full work available at URL: https://doi.org/10.1134/s106192081804012x

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Computational methods for problems pertaining to quantum theory (81-08) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Lagrangian submanifolds; Maslov index (53D12) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (7)

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Uses Software

• Mathematica

Cites Work

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• Maslov's canonical operator, Hörmander's formula, and localization of the Berry-Balazs solution in the theory of wave beams
• The Asymptotic Solutions of Ordinary Linear Differential Equations of the Second Order, With Special Reference to a Turning Point
• Programmieren mit Wolfram Mathematica®

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