Coverart for item
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)

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
Creator
Subject
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."
Member of
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)
Instantiates
Publication
Copyright
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)
Publication
Copyright
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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