Localization in Periodic Potentials - From Schroedinger Operators to the Gross-Pitaevskii Equation

Informationen zum Autor Dmitry E. Pelinovsky is a Professor in the Department of Mathematics at McMaster University, Canada. Klappentext Describes modern methods in the analysis of reduced models of Bose Einstein condensation in periodic lattices. Zusammenfassung This comprehensive book describes modern methods in the analysis of reduced models of Bose–Einstein condensation in periodic lattices. Aimed at researchers and graduate students working in applied mathematics and physical sciences where nonlinear waves arise, its unique focus is on localized nonlinear waves in periodic potentials and lattices. Inhaltsverzeichnis Preface; 1. Formalism of the nonlinear Schrödinger equations; 2. Justification of the nonlinear Schrödinger equations; 3. Existence of localized modes in periodic potentials; 4. Stability of localized modes; 5. Traveling localized modes in lattices; Appendix A. Mathematical notations; Appendix B. Selected topics of applied analysis; References; Index.

Product details

• Authors: Dmitry Pelinovsky, Dmitry E. Pelinovsky, Dmitry E. (McMaster University Pelinovsky
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 06.10.2011
• EAN: 9781107621541
• ISBN: 978-1-107-62154-1
• No. of pages: 407
• Series: London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries