Semiclassical Analysis (Graduate Studies in Mathematics)
Semiclassical Analysis (Graduate Studies in Mathematics) By Maciej Zworski
2012 | 424 Pages | ISBN: 0821883208 | DJVU | 3 MB
2012 | 424 Pages | ISBN: 0821883208 | DJVU | 3 MB
Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics and the Wentzel-Kramers-Brillouin (WKB) approximation. Examples of problems studied in this subject are high energy eigenvalue asymptotics or effective dynamics for solutions of evolution equations. From the mathematical point of view, semiclassical analysis is a branch of microlocal analysis which, broadly speaking, applies harmonic analysis and symplectic geometry to the study of linear and non-linear PDE.