Semiclassical Spectra from Periodic-Orbit Clusters in a Mixed Phase Space
Semiclassical Spectra from Periodic-Orbit Clusters in a Mixed Phase Space
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混合相空间中周期轨道簇的半经典谱
DOI：
10.1103/physrevlett.79.1022
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发表时间：
1997
影响因子：
8.6
通讯作者：
F. Haake
中科院分区：
文献类型：
--
作者：
H. Schomerus;F. Haake
我们从踢顶的经典周期轨道计算完整的准能谱（而不是其部分信息），贯穿从可积性到充分发展的混沌的过渡。准能量产生的标准误差是其平均间距的一小部分，即使有效的普朗克常数没有被推至很小的值。付出的代价是将分岔附近的周期轨道簇的集体贡献纳入古茨威勒{close_quote}的迹公式中。 {版权} {ital 1997} {ital 美国物理学会}
We calculate complete quasienergy spectra (rather than partial information thereon) from classical periodic orbits for the kicked top, throughout the transition from integrability to well-developed chaos. The standard error incurred for the quasienergies is a small percentage of their mean spacing, even though the effective Planck constant is not pushed to small values. The price paid is the inclusion of collective contributions of clusters of periodic orbits near bifurcations into Gutzwiller{close_quote}s trace formula. {copyright} {ital 1997} {ital The American Physical Society}