Wigner measure and semiclassical limits of nonlinear Schrödinger equations - Zhang, Ping 1957- (American Mathematical Society, 2008)
Includes bibliographical references (p. 193-197)
Chapter 1. The classical WKB method - Chapter 2. Wigner measure - Chapter 3. The limit from the one-dimensional Schr odinger-Poisson to Vlasov-Poisson equations - Chapter 4. Semiclassical limit of Schr odinger-Poisson equations - Chapter 5. Semiclassical limit of the cubic Schr odinger equation in an exterior domain - Chapter 6. Incompressible and compressible limits of coupled systems of nonlinear Schr odinger equations - Chapter 7. High-frequency limit of the Helmholtz equation - Appendix A. Global solutions to (3.14) - Appendix B. Denseness of polynomials - Appendix C. Global existence of a solution to (5.1) - Appendix D. Global smooth solution to (6.1). - Mode of access : World Wide Web
Keywords: Schr odinger equation; WKB approximation; Differential equations, Nonlinear; Nonlinear theories; Nichtlineare Schrödinger-Gleichung; Wigner-Verteilung