Classical and Quantum Models and Arithmetic Problems

by Chudnovsky

Overview

Here is an unsurpassed resource-important accounts of a variety of dynamic systems topics related to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface...and explicit determination of modular function growth near a real point applications of number theory to dynamical systems and applications of mathematical physics to number theory...tributes to the often-unheralded pioneers in the field... an examination of completely integrableand exactly solvable physical models .. . and much more!

Classical and Quantum Models and Arithmetic Problems is certainly a major source of information, advancing the studies of number theorists, algebraists, and mathematical physicistsinterested in complex mathematical properties of quantum field theory, statistical mechanics,and dynamic systems. Moreover, the volume is a superior source of supplementary readingfor graduate-level courses in dynamic systems and application of number theory.

Product Details

ISBN-13:	9780824718251
Publisher:	Taylor & Francis
Publication date:	07/31/1984
Series:	Lecture Notes in Pure and Applied Mathematics , #92
Pages:	480
Product dimensions:	8.25(w) x 11.00(h) x (d)

About the Author

David Chudnovsky is a Research Scientist inthe Department of Mathematics at Columbia University in New York City, where he has served since 1978.

Table of Contents

Geometrical and Electrical Properties of Some Julia Sets. Mathematical Microcosm of Geodesics, Free Groups, and Markoff Forms. Note on Eisenstein's System of Differential Equations: An Example of Exactly Solvable but Not Completely Integrable System of Differential Equations. Some Remarks on Theta Functions and S-Matrices. Recurrences, Pade Approximations and Their Applications. Harmonic Oscillators at Low Energies. The Quantization of a Classically Ergodic System. Diophantine Approximation of Complex Numbers. Trajectories on Reimann Surfaces. On the Analytic Structure of Dynamical Systems: Painleve Revisited.