Semiclassical trace formulae for systems with non-Abelian symmetry
Semiclassical trace formulae for systems with non-Abelian symmetry
复制标题
非阿贝尔对称系统的半经典迹公式
DOI：
10.1088/0305-4470/25/6/021
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
R. Littlejohn
中科院分区：
文献类型：
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作者：
S. Creagh;R. Littlejohn
给出了Gutzveler(1967)和Bian and Bloch(1970)的迹公式的推广，这些公式在非阿贝尔连续对称性下是有效的。在这种情况下，通常的轨迹公式必须修改，因为周期轨道出现在连续的族中，而通常的轨迹公式要求周期轨道在给定的能量下是孤立的。这些计算推广了以前一篇论文的结果，其中他们考虑了阿贝尔连续对称性。这些结果最重要的应用是具有全三维旋转对称性的系统，它们特别考虑了这种情况。
The authors derive generalizations of the trace formula of Gutzwiller (1967) and Balian and Bloch (1970) that are valid in the presence of a non-Abelian continuous symmetry. The usual trace formula must be modified in such cases because periodic orbits occur in continuous families, whereas the usual trace formula requires that the periodic orbits be isolated at a given energy. These calculations extend the results of a previous paper, in which they considered Abelian continuous symmetries. The most important application of the results is to systems with full three-dimensional rotational symmetry, and they give this case special consideration.
DOI：
10.1007/978-3-642-66243-0
发表时间：
1976
期刊：
Energy Sources, Part B: Economics, Planning, and Policy
影响因子：
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作者：
A. Kirillov
通讯作者：
A. Kirillov