Short-Wave Asymptotic Solutions of the Wave Equation with Localized Perturbations of the Velocity

Author:

Allilueva A. I.,Shafarevich A. I.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference7 articles.

1. V. P. Maslov and M. V. Fedoriuk, Semi-Classical Approximation in Quantum Mechanics (Springer, Dordrecht, 1981).

2. S. Yu. Dobrokhotov, “Application of Maslov’s Theory to Two Problems for Equations with an Operator-Valued Symbol: Electron-Phonon Interaction and the Schrödinger Equation with Rapidly Oscillating Potential,” Uspekhi Mat. Nauk 39 (4), 125 (1984) [in Russian].

3. V. S. Buslaev, “Adiabatic Perturbation of a Periodic Potential,” Teoret. Mat. Fiz. 58 (2), 233–243 (1984) [Theoret. and Math. Phys. 58 (2), 153-159 (1984)].

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|∇Φ|2/ch2(Φ/h)|,” Dokl. Akad. Nauk SSSR 295 (6), 1347–1351 (1987) [Sov. Phys., Dokl. 32 (8), 633-635 (1987)].

5. A. I. Shafarevich, “Quasiclassical Scattering of Wave Packets on a Narrow Band in which the Potential Rapidly Changes,” Mat. Zametki 45 (1), 106–114 (1989) [Math. Notes 45 (1), 72-77 (1989)].

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