物理学中的几何相位GEOMETRIC PHASES IN PHYSICS

During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as 'Berry's phase') in addition to the usual dynamical phase derived from Schr鰀inger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified and found to be important in a startling variety of physical contexts, ranging from nuclear magnetic resonance and low-Reynolds number hydrodynamics to quantum field theory. This volume is a collection of original papers and reprints, with commentary, on the subject.

Preface
A Reader's Guide
Chapter 1 INTRODUCTION AND OVERVIEW
[1.1]　M.V. Berry, "The Quantum Phase, Five Years After"*
[1.2]　R. Jackiw, "Three Elaborations on Berry's Connection, Curvature and Phase," lnt. J. Mod. Phys. A3 (1988) 285-297
Chapter 2 ANTICIPATIONS
[2.1]　S. Pancharatnam, "Generalized Theory of Interference, and its Applications," from Collected Works of S. Pancharatnam (Oxford University Press, UK, 1975)
[2.2]　M.V. Berry, "The Adiabatic Phase and Pancharatnam's Phase for Polarized Light," J. Mod. Optics 34 (1987) 1401-1407
[2.3]　G. Herzberg and H. C. Longuet-Higgins, "Intersection of Potential Energy Surfaces in Polyatomic Molecules," Disc. Farad. Soc. 35 (1963) 77-82
[2.4]　A.J. Stone, "Spin-Orbit Coupling and the Intersection of Potential Energy Surfaces in Polyatomic Molecules," Proc. R. Soc. Lond. A351 (1976) 141-150
[2.5]　C.A. Mead and D. G. Truhlar, "On the Determination of Born-Oppenheimer Nuclear Motion Wave Functions Including Complications due to Conical Intersections and Identical Nuclei," J. Chem. Phys. 70 (05) (1979) 2284 - 2296
[2.6]　Y. Aharonov and D. Bohm, "Significance of Electromagnetic Potentials in the Quantum Theory," Phys. Rev. 115 (1959) 485
Chapter 3 FOUNDATIONS
[3.1]　M.V. Berry, "Quantal Phase Factors Accompanying Adiabatic Changes," Proc. R. Lond. A392 (1984)45-57
[3.2]　B. Simon, "Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase," Phys. Rev. Lett. 51 (1983) 2167-2170
[3.3]　F. Wilczek and A. Zee, "Appearance of Gauge Structure in Simple Dynamical Systems," Phys. Rev. Lett. 52 (1984)2111-2114
[3.4]　Y. Aharonov and J. Anandan, "Phase Change during a Cyclic Quantum Evolution," Phys. Rev. Lett. 58 (1987) 1593 - 1596
[3.5]　J. Samuel and R. Bhandari, "General Setting for Berry's Phase," Phys. Rev. Lett. 60 (1988) 2339-2342
[3.6]　H. Kuratsuji and S. Iida, "Effective Action for Adiabatic Process," Prog. Theo. Phys. 74 (1985) 439-445
[3.7]　J. Moody, A. Shapere and F. Wflczek, "Adiabatic Effective Lagrangians" *
Chapter 4 SOME APPLICATIONS AND TESTS
[4.1]　A. Tomita and R. Chiao, "Observation of Berry's Topological Phase by Use of an Optical Fiber," Phys. Rev. Lett. 57 (1986) 937-940
[4.2]　M.V. Berry, "Interpreting the Anholonomy of Coiled Light," Nature 326 (1987) 277-278
[4.3]　J. Moody, A. Shapere and F. Wilczek, "Realizations of Magnetic-Monopole Gauge Fields: Diatoms and Spin Precession," Phys. Rev. Lett. 56 (1986)893-896
[4.4]　D. Suter, G. C. Chingas, R. A. Harris and A. Pines, "Berry's Phase in Magnetic Resonance," Mol. Phys. 61 (1987) 1327-1340
[4.5]　R. Tycko, "Adiabatic Rotational Splittings and Berry's Phase in Nuclear Quadrupole Resonance," Phys. Rev. Lett. 58 (1987) 228t -2284
[4.6]　D. Suter, K. T. Mueller and A. Pines, "Study of the Aharonov-Anandan Quantum Phase by NMR lnterferometry," Phys. Rev. Lett. 60 (1988) 1218- 1220
　[4.7]　A. Zee, "Non-Abelian Gauge Structure in Nuclear Quadrupole Resonance," Phys. Rev. A38 (1988) 1-6
　[4.8]　C.A. Mead, "Molecular Kramers Degeneracy and Non-Abelian Adiabatic Phase Factors," Phys. Rev. Lett. 59 (1987) 161 164
　[4.9]　B. Zygelman, "Appearance of Gauge Potentials in Atomic Collision Physics," Phys. Lett. A125 (1987) 476 -481
　……
Chapter 5 FRACTIONAL STATISTICS
Chapter 6 THE QUANTIZED HALL EFFECT
Chapter 7 WESS-ZUMINO TERMS AND ANOMALIES
Chapter 8 CLASSICAL SYSTEMS
Chapter ASYMPTOTICS