The complex WKB method in nonlinear equations. (Kompleksnyj metod VKB v nelinejnykh uravneniyakh). (Russian) Zbl 0449.58001

Maslov, V. P.

Nelinejnyj Analiz i ego Prilozheniya. Moskva: Izdatel’stvo “Nauka”. 384 p. R. 1.60 (1977).

MSC:

58-02	Research exposition (monographs, survey articles) pertaining to global analysis
37J99	Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
35Q99	Partial differential equations of mathematical physics and other areas of application
81T99	Quantum field theory; related classical field theories
81Q99	General mathematical topics and methods in quantum theory
53D50	Geometric quantization
58J40	Pseudodifferential and Fourier integral operators on manifolds
70H99	Hamiltonian and Lagrangian mechanics

Keywords:

quasiclassical approach to solving nonlinear equations which appear in quantum mechanics; Bohr’s quantization formula; family of Lagrangian surfaces on closed manifolds; Bohr-Sommerfeld condition; eigenvalues of the Hamiltonian; asymptotics of near-vacuum families of solutions; Sine- Gordon Kadomtsev-Petviashvili’ crystallographic equations

Citations:

Zbl 0449.58002