Reflection and Refraction of Lagrangian Manifolds Corresponding to Short-Wave Solutions of the Wave Equation with an Abruptly Varying Velocity

Author:

Allilueva A. I.,Shafarevich A. I.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference8 articles.

1. V. P. Maslov and M. V. Fedoriuk, “Semi-Classical Approximation in Quantum Mechanics”, Math. Phys. Appl. Math., 7 (1981).

2. S. Yu. Dobrokhotov, “Application of Maslov’s Theory to Two Problems with Operator-Valued Symbol”, Uspekhi Mat. Nauk, 4:39 (1984), 125.

3. V. S. Buslaev, “Adiabatic Perturbation of a Periodic Potential”, Theoret. and Math. Phys., 2:58 (1984), 153–159.

4. S. Yu. Dobrokhotov and A. I. Shafarevich, “Semiclassical Asymptotic Behavior of the Scattering of Wave Packets by the Rapidly Changing Potential Given by the Equation $$-2|\nabla\Phi|^2/\cosh^2(\Phi/h)|$$”, Sov. Phys. Dokl., 8:32 (1987), 633–635.

5. A. I. Shafarevich, “Quasiclassical Scattering of Wave Packets on a Narrow Band in Which the Potential Rapidly Changes”, Math. Notes, 1:45 (1989), 72–77.

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