Differential Equations

Green's Function Estimates for Lattice Schrödinger Operators and Applications

Name: Green's Function Estimates for Lattice Schrödinger Operators and Applications
Brand: Princeton University Press
SKU: 9780691120980
Price: 11237.00 INR
Availability: InStock
ISBN: 9780691120980

GREENS FUNCTION ESTIMATES FOR

Contributor(s): Bourgain, Jean Author Format: Paperback

Paperback · ISBN 9780691120980

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Key Specifications

ISBN	9780691120980
Subtitle	GREENS FUNCTION ESTIMATES FOR
Publisher	Princeton University Press
Publication date	November 2004
Language	English
MRP	£80.00 GBP
Page count	184
Item weight	59 g

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."

Green's Function Estimates for Lattice Schrödinger Operators and Applications

Key Specifications

Bourgain, Jean Author

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