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Author Maslov, V. P. (Viktor Pavlovich)

Title The complex WKB method for nonlinear equations I : linear theory / Victor P. Maslov ; translated from the Russian by M.A. Shishkova and A.B. Sossinsky.

Published Basel ; Boston : Birkhäuser, 1994.


Location Call No. Status
 UniM ERC  530.155352 MASL    AVAILABLE
Uniform title Kompleksnyĭ metod VKB v nelineĭnykh uravneni︠i︡a. English
Physical description vii, 300 p. : ill. ; 24 cm.
Series Progress in physics ; v. 16
Progress in physics (Boston, Mass.) ; v. 16.
Bibliography Includes bibliographical references and index.
Contents Ch. I. Equations and problems of narrow beam mechanics -- Ch. II. Hamiltonian formalism of narrow beams -- Ch. III. Approximate solutions of the nonstationary transport equation -- Ch. IV. Stationary Hamilton-Jacobi and transport equations -- Ch. V. Complex Hamiltonian formalism of compact (cyclic) beams -- Ch. VI. Canonical operators on Lagrangian manifolds with complex germ and their applications to spectral problems of quantum mechanics -- 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).
Subject WKB approximation.
Differential equations, Linear -- Asymptotic theory.
Differential equations, Nonlinear -- Asymptotic theory.
Mathematical physics.
ISBN 0817650881 (alk. paper)
3764350881 (alk. paper) : 128.00F