【讨论班】 第十次活动公告&此前活动小结

讨论班本周的活动（6月6日，星期日18:30）我们请到了UT Austin的程然学长。他将为大家介绍quantum geometric tensor的有关问题。地点仍然是理科楼1221。

摘要如下：

 

Introduction to Quantum Geometric Tensor

(Tsinghua University, summer 2010)

 

Ran Cheng

Department of Physics,

University of Texas at Austin

 

 

When the Hilbert space is parametrized by certain coordinates,
quantum states constitute fiber bundles on the base manifold labeled by
such coordinates. The "quantum distance" of two neighbouring states is
thus measurable though the quantum geometric tensor (QGT),
whose symmetric part is a Riemann tensor on the manifold and the
antisymmetric part being the Berry curvature. While the latter has been
widely studied in many systems, the physical significance of the former
is still mysterious.

 

Besides the basic formalism and the Abelian case of QGT, we will
focus on the "Anandan-Aharonov theorem" and the non-Abelian
generalization of QGT. Some applications in condensed matter physics
will also be presented.

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我们本学期的讨论班到目前为止已进行了九次活动。分别是：

1) Renormalization Group Approach to Interacting Fermions by 张龙

2) Chiral Anomalies: Nonperturbative Methods and Applications in Effective Theory of Strong Interaction by 鲜于中之 （点此下载讲稿）

3) Introduction to K-T Transition by 张龙

4) Introduction to Cyclic Expansion in Dynamical System by 谢剑波

5) Loop Quantum Gravity and Its Applications by 黄飚 （点此下载讲稿）

6) Anomaly, Topology and Renormalization Group by 鲜于中之 （点此下载讲稿）

7) Renomalization Group Approach to Peierls Transition by 张龙

8) Spin Connection, Vielbein and Local Lorentz Transformation by 肖潇 （点此下载讲稿）

9) Theory and Experiments on Dark Energy by 吕岚春

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补充说明：

1、我主讲的两次讲稿都是草稿，未能仔细检查，错漏甚多，待以后补正。

2、希望没有提供讲稿的同学将其整理好发给我（最好是tex格式），我打算学期末时编成一个小册子。

3、这个“现代量子场论”讨论班我们打算今后继续办下去。我希望能够做到“完全开放、自由讨论”。到目前为止效果尚佳，至少我自己在其中收获很多。欢迎有兴趣的同学参加。