Geometric Phases in Physics
Geometric Phases in Physics
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DOI：
10.1142/0613
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
F. Wilczek;A. Shapere
中科院分区：
文献类型：
--
作者：
F. Wilczek;A. Shapere
在过去的几年里，当波动方程缓慢变化时，人们对波动积累的相位产生了相当大的兴趣。最近的一系列活动是由迈克尔·贝里的一篇论文引发的，论文中发现，量子力学中能量本征函数的绝热演化除了从薛定谔方程推导出的通常的动力学相外，还包含一个几何起源的相(现在称为‘贝里相’)。这一观察，虽然基本是初级的，但似乎相当深刻。具有相似数学起源的相已经被识别并被发现在从核磁共振和低雷诺数流体力学到量子场论的惊人的各种物理环境中都是重要的。这本书收集了关于这一主题的原始论文和重印本，并附有评论。
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 Schrodinger'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.