Classical and Quantum Models and Arithmetic Problems [Paperback]

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.

Here is an unsurpassed resource-important accounts of a variety of dynamic systems topics related to number theoryGeometrical 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.USCopyright ? 1984 by Marcel Dekker, Inc.