Quantum Mechanics of Fundamental Systems

ISBN-13: 9781461364894 / Angielski / Miękka / 2012 / 243 str.

Claudio Teitelboim; Jorge Zanelli

Opis

From January 8-13,1990, distinguished physicists from many nations came to Chile to share with each other and with Latin American students exciting recent developments. The occasion was the third of a series of meetings on Quantum Mechanics of Fundamental Systems which are held every two years at the Centro de Estudios Cientificos de Santiago. This volume grew out from that gathering. The meeting was possible thanks to the generous support of the Tinker Foundation, the John D. and Catherine T. MacArthur Foundation, the International Centre for Theoretical Physics, the Ministere des AfIaires Etrangeres et Service Culturel et de Cooperation Scientifique et Technique de France, the Third World Academy of Sciences, and FONDECYT-Chile. The happy winds blowing over Chile at the time enhanced the joy provided by the beauty of the physics discussed. Claudio Teitelboim Jorge Zanelli Santiago, Chile vii Contents Chapter 1 Fractional Statistics in Quantum Mechanics Daniel P. Arovas 1. Introduction............................................. 1 2. Charge-Flux Composites. . . .. . . . .. . . . . . . . . .. . . . . . . . . .. . . . . 4 3. Dilute Anyon Gases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4. Fractional Statistics in the Quantized Hall Effect . . . . . . . . . . . . . 8 5. Many-Body Theory of the Anyon Gas... . .................. 16 6. Chern-Simons Field Theory and Fractional Statistics ......... 20 Appendix: Many Anyons in a Magnetic Field. . . . . . . . . . . . . . 23 . .

Spis treści

Fractional Statistics in Quantum Mechanics; D.P. Arovas. Microscopic and Macroscopic Loops in Non-Perturbative Two-Dimensional Gravity; T. Banks, et al. Covariant Superstrings; L. Brink. Constraints on the Baryogenesis from Neutrino Masses; W. Fischler, et al. Lectures on the Antifield-BRST Formalism for Gauge Theories; M. Henneaux. Combinatorics of Mapping Class Groups and Matrix Integration; C. Itzykson, J.B. Zuber. Field Theoretical Description of HighTc Superconductors; E.C. Marino. Random Dynamics, Three Generations, and Skewness; H.B. Nielsen. Gauge Anomalies in Two Dimensions; R. Rajaraman. Some Topics on Topological Quantum Field Theories; F.A. Schaposnik. Index.