Classical and Quantum Models and Arithmetic Problems

ISBN-13: 9781138441958 / Angielski / Twarda / 2017

David Chudnovsky

Opis

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.

Spis treści

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.

O autorze

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