The Complex WKB Method for Nonlinear Equations I von Victor P. Maslov | Linear Theory | ISBN 9783034885362

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. Sossinsky
Mitwirkende
Autor / AutorinVictor P. Maslov
Übersetzt vonM.A. Shishkova
Übersetzt vonA.B. Sossinsky
Buchcover The Complex WKB Method for Nonlinear Equations I | Victor P. Maslov | EAN 9783034885362 | ISBN 3-0348-8536-9 | ISBN 978-3-0348-8536-2

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. Sossinsky
Mitwirkende
Autor / AutorinVictor P. Maslov
Übersetzt vonM.A. Shishkova
Übersetzt vonA.B. Sossinsky

Inhaltsverzeichnis

  • 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).