Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation: 390 (London Mathematical Society Lecture Note Series, Series Number 390) - Tapa blanda

Libro 323 de 387: London Mathematical Society Lecture Notes

Pelinovsky, Dmitry E.

 
9781107621541: Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation: 390 (London Mathematical Society Lecture Note Series, Series Number 390)
Tapa blanda
ISBN 10: 1107621542 ISBN 13: 9781107621541
Editorial: Cambridge University Press, 2011

Sinopsis

This book provides a comprehensive treatment of the Gross–Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose–Einstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schrödinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schrödinger equations. One of the important features of such systems is the existence of band gaps in the wave transmission spectra, which support stationary localized modes known as the gap solitons. These localized modes realise a balance between periodicity, dispersion and nonlinearity of the physical system. Written for researchers in applied mathematics, this book mainly focuses on the mathematical properties of the Gross–Pitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Dmitry E. Pelinovsky is a Professor in the Department of Mathematics at McMaster University, Canada.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Cambridge University Press
Año de publicación
2011
Idioma
Inglés
ISBN 10 
1107621542
ISBN 13 
9781107621541
Encuadernación
Tapa blanda
Número de páginas
408
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia