The Resource Localization in periodic potentials : from Schrödinger operators to the GrossPitaevskii equation, Dmitry E. Pelinovsky
Localization in periodic potentials : from Schrödinger operators to the GrossPitaevskii equation, Dmitry E. Pelinovsky
Resource Information
The item Localization in periodic potentials : from Schrödinger operators to the GrossPitaevskii equation, Dmitry E. Pelinovsky represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Localization in periodic potentials : from Schrödinger operators to the GrossPitaevskii equation, Dmitry E. Pelinovsky represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 "This book provides a comprehensive treatment of the GrossPitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the meanfield model of the BoseEinstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The meanfield 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 GrossPitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials"
 Language
 eng
 Extent
 x, 398 pages
 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
 Isbn
 9781107621541
 Label
 Localization in periodic potentials : from Schrödinger operators to the GrossPitaevskii equation
 Title
 Localization in periodic potentials
 Title remainder
 from Schrödinger operators to the GrossPitaevskii equation
 Statement of responsibility
 Dmitry E. Pelinovsky
 Language
 eng
 Summary
 "This book provides a comprehensive treatment of the GrossPitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the meanfield model of the BoseEinstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The meanfield 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 GrossPitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials"
 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
 GrossPitaevskii equations
 Localization theory
 MATHEMATICS / General
 Lokalisationstheorie
 Nichtlineare SchrödingerGleichung
 Periodisches Potenzial
 Label
 Localization in periodic potentials : from Schrödinger operators to the GrossPitaevskii equation, Dmitry E. Pelinovsky
 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 GrossPitaevskii equation, Dmitry E. Pelinovsky
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Localizationinperiodicpotentialsfrom/FMdkYcFOm4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Localizationinperiodicpotentialsfrom/FMdkYcFOm4/">Localization in periodic potentials : from Schrödinger operators to the GrossPitaevskii equation, Dmitry E. Pelinovsky</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>