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The Complex WKB Method for Nonlinear Equations I
Linear Theory
von Victor P. Maslov, aus dem Russischen übersetzt von M.A. Shishkova und A.B. SossinskyInhaltsverzeichnis
- I. Equations and problems of narrow beam mechanics.
- II. Hamiltonian formalism of narrow beams.
- III. Approximate solutions of the nonstationary transport equation.
- IV. Stationary Hamilton-Jacobi and transport equations.
- V. Complex Hamiltonian formalism of compact (cyclic) beams.
- VI. Canonical operators on Lagrangian manifolds with complex germ and their applications to spectral problems of quantum mechanics.
- References.
- Appendix A Complex germ generated by a linear connection.
- Appendix B Asymptotic solutions with pure imaginary phase and the tunnel equation.
- Appendix C Analytic asymptotics of oscillatory decreasing type (heuristic considerations).