关于闭合凸锥上的CCR和CAR流的注释

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-01-12 DOI:10.1142/s0219025721500211

Anbu Arjunan

引用次数: 0

摘要

对于一个张成且有点的闭凸锥P，即P−P =∈，P∩−P ={0}，我们考虑P上由若干CCR流和CAR流组成的e0 -半群族，并将它们划分到环共轭。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Remarks on CCR and CAR flows over closed convex cones

For a closed convex cone P in ℝd which is spanning and pointed, i.e. P − P = ℝd and P ∩−P = {0}, we consider a family of E0-semigroups over P consisting of a certain family of CCR flows and CAR flows over P and classify them up to the cocycle conjugacy.

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来源期刊

Infinite Dimensional Analysis Quantum Probability and Related Topics 数学-统计学与概率论

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： In the past few years the fields of infinite dimensional analysis and quantum probability have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. The number of first-class papers in these fields has grown at the same rate. This is currently the only journal which is devoted to these fields. It constitutes an essential and central point of reference for the large number of mathematicians, mathematical physicists and other scientists who have been drawn into these areas. Both fields have strong interdisciplinary nature, with deep connection to, for example, classical probability, stochastic analysis, mathematical physics, operator algebras, irreversibility, ergodic theory and dynamical systems, quantum groups, classical and quantum stochastic geometry, quantum chaos, Dirichlet forms, harmonic analysis, quantum measurement, quantum computer, etc. The journal reflects this interdisciplinarity and welcomes high quality papers in all such related fields, particularly those which reveal connections with the main fields of this journal.