Semiclassical analysis
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Stack | Stack | 515 ZWO/S (Browse shelf (Opens below)) | Available | 59804 |
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515 THO/C Calculus | 515 VAK/R Real analysis through modern infinitesimals | 515 ZOR/U Understanding real analysis | 515 ZWO/S Semiclassical analysis | 515.028553 CRI/E Exploring calculus : labs and projects with Mathematica | 515.13 SIM/I Introduction to topology and modern analysis / | 515.13 SIM/I Introduction to topology and modern analysis / |
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.
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