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Communicationsin Commun. Math. Phys. 124, 595-627 (1989) Mathematical

Summary: Communicationsin
Commun. Math. Phys. 124, 595-627 (1989) Mathematical
Springer-Verlag 1989
Chern Numbers, Quaternions, and Berry's Phases
in Fermi Systems
J. E. Avron*'**, L. Sadun***, J. Segert** and B. Simon**
Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena,
CA 91125, USA
Abstract. Yes, but some parts are reasonably concrete.
Table of Contents
1. Introduction 596
1.1 The Adiabatic Connection 596
1.2 The Spectral Bundles of H(B) 599
1.3 Quadrupole Interactions 600
1.4 Topological Quantum Numbers 600
2. Time Reversal and Quaternions 601
2.1 Quaternionic Vector Spaces 601
2.2 Quaternionic Structure Maps 603
2.3 Angular Momentum and Time Reversal 604


Source: Avron, Joseph - Physics Department, Technion, Israel Institute of Technology
Flach, Matthias - Department of Mathematics, California Institute of Technology


Collections: Mathematics; Physics