Applications of periodic-orbit theory.

Applications of periodic-orbit theory.
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周期轨道理论的应用。

DOI:
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发表时间:
1992
期刊:
影响因子:
2.9
通讯作者:
Martin M A Sieber
Martin M A Sieber
中科院分区:
数学2区
文献类型:
--
作者:
Martin M A Sieber

文献摘要

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Gutzwiller的双轨道理论通过使用广义双轨道求和规则以各种方式应用。对双曲线台球这一强混沌系统进行了数值计算。最有效的量子能量的半经典测定是通过量子化条件来实现的,该量子化条件通过使用函数方程以zeta函数来制定。
The periodic-orbit theory of Gutzwiller is applied in various ways by using generalized periodic-orbit sum rules. Numerical evaluations are carried out for the hyperbola billiard, a strongly chaotic system. The most efficient semiclassical determination of quantum energies is achieved by a quantization condition, which is formulated in terms of a zeta function by using a functional equation.