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The Resource Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation, Dmitry E. Pelinovsky

Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation, Dmitry E. Pelinovsky

Label
Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation
Title
Localization in periodic potentials
Title remainder
from Schrödinger operators to the Gross-Pitaevskii equation
Statement of responsibility
Dmitry E. Pelinovsky
Creator
Subject
Language
eng
Summary
"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"--
Member of
Assigning source
Provided by publisher
Cataloging source
DLC
http://library.link/vocab/creatorName
Pelinovsky, Dmitry
Dewey number
530.12/4
Illustrations
illustrations
Index
index present
LC call number
QC174.26.W28
LC item number
P45 2011
Literary form
non fiction
Nature of contents
bibliography
Series statement
London Mathematical Society lecture note series
Series volume
390
http://library.link/vocab/subjectName
  • Schrödinger equation
  • Gross-Pitaevskii equations
  • Localization theory
  • MATHEMATICS / General
  • Lokalisationstheorie
  • Nichtlineare Schrödinger-Gleichung
  • Periodisches Potenzial
Label
Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation, Dmitry E. Pelinovsky
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
727702109
Dimensions
23 cm
Extent
x, 398 pages
Isbn
9781107621541
Isbn Type
(pbk.)
Lccn
2011025637
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)727702109
Label
Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation, Dmitry E. Pelinovsky
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
727702109
Dimensions
23 cm
Extent
x, 398 pages
Isbn
9781107621541
Isbn Type
(pbk.)
Lccn
2011025637
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)727702109

Library Locations

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