TY  - BOOK
AU  - Zworski,Maciej
TI  - Semiclassical analysis 
T2  - Graduate studies in mathematics
SN  - 9781470425845
U1  - 515 
PY  - 2012///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Quantum theory
KW  - Differential equations, Partial
KW  - Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with quantum mechanics
KW  - Quantum theory -- General mathematical topics and methods in quantum theory -- Semiclassical techniques, including WKB and Maslov methods
KW  - Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators -- Pseudodifferential operators
KW  - Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators -- Fourier integral operators
KW  - Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions
KW  - Quantum theory -- General quantum mechanics and problems of quantization -- Geometry and quantization, symplectic methods
N2  - 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 approximation. Examples of problems studied in this subject are high energy eigenvalue asymptotics and 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 nonlinear PDE. The book is intended to be a graduate level text introducing readers to semiclassical and microlocal methods in PDE. It is augmented in later chapters with many specialized advanced topics which provide a link to current research literature
ER  -