Quantum intermittency : old or new phenomenon ?
Quantum intermittency : old or new phenomenon ?
复制标题
量子间歇性：旧现象还是新现象？
DOI：
10.1051/jp4:1998635
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
G. Mantica
中科院分区：
文献类型：
--
作者：
G. Mantica
在乔瓦尼·帕拉丁的研究中，有两个看似无关的主题，一个是分形测度的几何形式主义，另一个是解释发展良好的湍流结构的抽象模型。在这里，间歇性的行为似乎是深起源的非K41标度关系的速度差异的流动特征。这些主题-多重分形性质（某些频谱措施）和非平凡的标度函数（在时间上的本地化属性）-原来是密切相关的描述几乎周期性的系统，经典和量子波传播。它们的关系导致了我所谓的量子非线性现象：我发展了一个完整的分析处理它的外观在运动产生的哈密顿与朱莉娅集措施
Two seemingly unrelated themes in the research of Giovanni Paladin have been the thermodynamical formalism for fractal measures, and abstract models to account for the structure of well-developed turbulence. Here, intermittent behaviour seems to be the deep origin of the non-K41 scaling relations characterizing velocity differences in the flow. These themes-multifractal properties (of certain spectral measures) and non-trivial scaling functions (of localization properties in time)-turn out to be intimately related in the description of wave propagation in almost periodic systems, classical and quantum. Their relations lead to what I call the phenomenon of quantum intermittency: I develop a complete analytical treatment of its appearance in the motion generated by Hamiltonians associated with Julia set measures