Localization in periodic potentials - Info and Reading Options
from Schrödinger operators to the Gross-Pitaevskii equation
By Dmitry Pelinovsky
"Localization in periodic potentials" was published by Cambridge University Press in 2011 - Cambridge, UK, it has 398 pages and the language of the book is English.
“Localization in periodic potentials” Metadata:
- Title: ➤ Localization in periodic potentials
- Author: Dmitry Pelinovsky
- Language: English
- Number of Pages: 398
- Publisher: Cambridge University Press
- Publish Date: 2011
- Publish Location: Cambridge, UK
“Localization in periodic potentials” Subjects and Themes:
- Subjects: Localization theory - Gross-Pitaevskii equations - Schrödinger equation - Mathematics - MATHEMATICS / General
Edition Specifications:
- Pagination: x, 398 p. :
Edition Identifiers:
- The Open Library ID: OL25194266M - OL16495411W
- Online Computer Library Center (OCLC) ID: 727702109
- Library of Congress Control Number (LCCN): 2011025637
- ISBN-13: 9781107621541
- ISBN-10: 1107621542
- All ISBNs: 1107621542 - 9781107621541
AI-generated Review of “Localization in periodic potentials”:
"Localization in periodic potentials" Table Of Contents:
- 1- Machine generated contents note: 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.
"Localization in periodic potentials" Description:
The Open Library:
"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"--
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