On the Weyl representation of metaplectic operators

被引：20
|
作者：
De Gosson, MA [1 ]
机构：
[1] Univ Potsdam, Inst Math, D-14415 Potsdam, Germany
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2005年 / 72卷 / 02期
关键词：
Weyl symbol; metaplectic operators; Maslov and Conley-Zehnder index; Gutzwiller formula;
D O I：
10.1007/s11005-005-4391-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the Weyl representation of metaplectic operators associated to a symplectic matrix having no non-trivial fixed point, and justify a formula suggested in earlier work of Mehlig and Wilkinson. We give precise calculations of the associated Maslov-type indices; these indices intervene in a crucial way in Gutzwiller's formula of semiclassical mechanics, and are simply related to an index defined by Conley and Zehnder.
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页码：129 / 142
页数：14
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