
Preface  Preview Material  Table of Contents  Supplementary Material 
Courant Lecture Notes 2008; 197 pp; softcover Volume: 17 ISBN10: 0821847015 ISBN13: 9780821847015 List Price: US$31 Member Price: US$24.80 Order Code: CLN/17 See also: Semilinear Schrödinger Equations  Thierry Cazenave Global Solutions of Nonlinear Schrödinger Equations  J Bourgain Asymptotic Solutions of the Onedimensional Schrödinger Equation  S Yu Slavyanov  This book is based on a course entitled "Wigner measures and semiclassical limits of nonlinear Schrödinger equations," which the author taught at the Courant Institute of Mathematical Sciences at New York University in the spring of 2007. The author's main purpose is to apply the theory of semiclassical pseudodifferential operators to the study of various highfrequency limits of equations from quantum mechanics. In particular, the focus of attention is on Wigner measure and recent progress on how to use it as a tool to study various problems arising from semiclassical limits of Schrödingertype equations. At the end of each chapter, the reader will find references and remarks about recent progress on related problems. The book is selfcontained and is suitable for an advanced graduate course on the topic. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University. Readership Graduate students and research mathematicians interested in PDE's of Schrödinger and kinetic type. 


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