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Green´s Function Estimates for Lattice Schrödinger Operators and Applications. (AM-158)
Jean Bourgain
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Description for Green´s Function Estimates for Lattice Schrödinger Operators and Applications. (AM-158)
Paperback. Presents an overview of the developments in the area of localization for quasi-periodic lattice Schrodinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. This book emphasises on so-called 'non-perturbative' methods and the role of subharmonic function theory and semi-algebraic set methods. Series: Annals of Mathematics Studies. Num Pages: 200 pages, 14 line illus. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 14. Weight in Grams: 314.
This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrodinger 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 ... Read more
This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrodinger 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 ... Read more
Product Details
Format
Paperback
Publication date
2004
Publisher
Princeton University Press United States
Number of pages
192
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
184
Place of Publication
New Jersey, United States
ISBN
9780691120980
SKU
V9780691120980
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Jean Bourgain
Jean Bourgain is Professor of Mathematics at the Institute for Advanced Study and J. Doob Professor of Mathematics at the University of Illinois, Urbana-Champaign. He is the author of "Global Solutions of Nonlinear Schrodinger Equations".
Reviews for Green´s Function Estimates for Lattice Schrödinger Operators and Applications. (AM-158)
"This text is an up to date introduction to localization problems for lattice Schrodinger operations with deterministic ergodic potentials by one of the leading experts... I can recommend it to any graduate student or researcher in the field."
G. Teschl, Monatschefte fur Mathematik
G. Teschl, Monatschefte fur Mathematik