Author | Maslov, Victor P. author |
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Title | The Complex WKB Method for Nonlinear Equations I [electronic resource] : Linear Theory / by Victor P. Maslov |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1994 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8536-2 |
Descript | VII, 304 p. online resource |
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)