The Resource Green's function estimates for lattice Schrödinger operators and applications, J. Bourgain, (electronic book)
Green's function estimates for lattice Schrödinger operators and applications, J. Bourgain, (electronic book)
Resource Information
The item Green's function estimates for lattice Schrödinger operators and applications, J. Bourgain, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Green's function estimates for lattice Schrödinger operators and applications, J. Bourgain, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.
This item is available to borrow from 1 library branch.
- Summary
- This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrödinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. The physical motivation of these models extends back to the works of Rudolph Peierls and Douglas R. Hofstadter, and the models themselves have been a focus of mathematical research for two decades. Jean Bourgain here sets forth the results and techniques that have been discovered in the last few years. He puts special emphasis on so-called "non-perturbative" methods and the important role of subharmonic function theory and semi-algebraic set methods. He describes various applications to the theory of differential equations and dynamical systems, in particular to the quantum kicked rotor and KAM theory for nonlinear Hamiltonian evolution equations. Intended primarily for graduate students and researchers in the general area of dynamical systems and mathematical physics, the book provides a coherent account of a large body of work that is presently scattered in the literature. It does so in a refreshingly contained manner that seeks to convey the present technological "state of the art."
- Language
- eng
- Extent
- 1 online resource (184 pages).
- Isbn
- 9781400837144
- Label
- Green's function estimates for lattice Schrödinger operators and applications
- Title
- Green's function estimates for lattice Schrödinger operators and applications
- Statement of responsibility
- J. Bourgain
- Language
- eng
- Summary
- This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrödinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. The physical motivation of these models extends back to the works of Rudolph Peierls and Douglas R. Hofstadter, and the models themselves have been a focus of mathematical research for two decades. Jean Bourgain here sets forth the results and techniques that have been discovered in the last few years. He puts special emphasis on so-called "non-perturbative" methods and the important role of subharmonic function theory and semi-algebraic set methods. He describes various applications to the theory of differential equations and dynamical systems, in particular to the quantum kicked rotor and KAM theory for nonlinear Hamiltonian evolution equations. Intended primarily for graduate students and researchers in the general area of dynamical systems and mathematical physics, the book provides a coherent account of a large body of work that is presently scattered in the literature. It does so in a refreshingly contained manner that seeks to convey the present technological "state of the art."
- Cataloging source
- CaPaEBR
- http://library.link/vocab/creatorDate
- 1954-2018
- http://library.link/vocab/creatorName
- Bourgain, Jean
- Dewey number
- 515.3/9
- Index
- no index present
- LC call number
- QC174.17.S3
- LC item number
- .B68 2005eb
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/subjectName
-
- Schrödinger operator
- Green's functions
- Hamiltonian systems
- Evolution equations
- Label
- Green's function estimates for lattice Schrödinger operators and applications, J. Bourgain, (electronic book)
- Bibliography note
- Includes bibliographical references at the end of each chapters
- Carrier category
- online resource
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type MARC source
- rdacontent
- Control code
- ebr10915616
- Dimensions
- unknown
- Extent
- 1 online resource (184 pages).
- Form of item
- online
- Isbn
- 9781400837144
- Media category
- computer
- Media MARC source
- rdamedia
- Note
- Electronic reproduction. Palo Alto, Calif. : ebrary, 2014. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.
- Original version note
- Original electronic resource
- Reproduction note
- Electronic resource.
- Specific material designation
- remote
- Label
- Green's function estimates for lattice Schrödinger operators and applications, J. Bourgain, (electronic book)
- Bibliography note
- Includes bibliographical references at the end of each chapters
- Carrier category
- online resource
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type MARC source
- rdacontent
- Control code
- ebr10915616
- Dimensions
- unknown
- Extent
- 1 online resource (184 pages).
- Form of item
- online
- Isbn
- 9781400837144
- Media category
- computer
- Media MARC source
- rdamedia
- Note
- Electronic reproduction. Palo Alto, Calif. : ebrary, 2014. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.
- Original version note
- Original electronic resource
- Reproduction note
- Electronic resource.
- Specific material designation
- remote
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Greens-function-estimates-for-lattice/KDxU5m-iOEs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Greens-function-estimates-for-lattice/KDxU5m-iOEs/">Green's function estimates for lattice Schrödinger operators and applications, J. Bourgain, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">Sydney Jones Library, University of Liverpool</a></span></span></span></span></div>
