晚年的非平衡统计力学:庞加莱大系统与Rigged Hilbert空间
Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincare Systems and Rigged Hilbert Space
摘要:
这是一篇两部分文章的第二部分,讨论了20世纪80年代中期之后,在罗素-奥斯汀集团的最新发展。基本的关注点与他们的相似性变换方法相同(见第一部分),但当代的方法利用操纵的希尔伯特空间(而旧的方法使用希尔伯特空间)。虽然对非平衡统计力学的强调保持不变,但相似变换的使用转移到了背景中。取而代之的是对庞加莱大型\U{e9}系统的物理特征、非线性动力学以及分析它们所需的数学工具的兴趣。
英文摘要:
This second part of a two-part essay discusses recent developments in the Brussels-Austin Group after the mid 1980s. The fundamental concerns are the same as in their similarity transformation approach (see Part I), but the contemporary approach utilizes rigged Hilbert space (whereas the older approach used Hilbert space). While the emphasis on nonequilibrium statistical mechanics remains the same, the use of similarity transformations shifts to the background. In its place arose an interest in the physical features of large Poincar\U{e9} systems, nonlinear dynamics and the mathematical tools necessary to analyze them.
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