...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Infinite dimensional analysis, quantum probability, and related topics >Nonconventional ergodic theorems for quantum dynamical systems
【24h】

Nonconventional ergodic theorems for quantum dynamical systems

机译：量子动力学系统的非常规遍历定理

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We study the so-called Nonconventional Ergodic Theorem for noncommutative generic measures introduced by Furstenberg in classical ergodic theory, and the relative three- point multiple correlations of arbitrary length arising from several situations of interest in quantum case. We deal with the diagonal state canonically associated to the product state (i.e. quantum "diagonal measures") in the ergodic situation, and with the case concerning convex combinations (i.e. direct integral) of diagonal measures in nonergodic one. We also treat in the full generality the case of compact dynamical systems, that is when the unitary generating the dynamics in the Gelfand-Naimark-Segal representation is almost periodic. In all the above-mentioned situations, we provide the explicit formula for the involved ergodic average. Such an explicit knowledge of the limit of the three- point correlations is naturally relevant for the investigation of the long time behavior of a dynamical system.
机译：我们研究了Furstenberg在经典遍历理论中引入的非交换通用测度的所谓非常规遍历定理，以及在量子情况下几种感兴趣的情况引起的任意长度的相对三点多重相关性。我们在遍历情况下处理与乘积状态（即量子“对角线度量”）规范相关的对角线状态，并在非遍历情况下处理对角线度量的凸组合（即直接积分）的情况。我们也完全笼统地讨论紧致动力系统的情况，也就是说，当Gelfand-Naimark-Segal表示中的动力学的unit生几乎是周期性的时。在所有上述情况下，我们为涉及的遍历平均值提供了明确的公式。这种对三点相关性极限的明确认识自然与研究动力学系统的长时间行为有关。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号