相干态、相位与测地三角形的辛面积
微分几何
2007-05-23 v1 辛几何
摘要
在某些流形上，两个相干态矢量的标积中出现的相位，是由流形上对应点与坐标系原点所确定的测地三角形的辛面积的两倍。这一结果在紧致埃尔米特对称空间上利用经由相干态对测地三角形形状不变量的推广得以证明，并在复格拉斯曼流形上通过直接计算重新得到。
引用
@article{arxiv.math/9903190,
title = {Coherent states, phases and symplectic areas of geodesic triangles},
author = {S. Berceanu},
journal= {arXiv preprint arXiv:math/9903190},
year = {2007}
}
备注
8 pages, Latex2e, AMS fonts, to appear in "Coherent States, Quantization and Gravity", Edited by M. Schlichenmaier, S. T. Ali, A. Strasburger, Proceedings of the XVII Workshop on Geometric Methods in Physics, Bialowieza, Poland, July 3-9, 1998, Rep. Math. Phys