幽灵稳定性的基础

IF 7.8 3区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Fortschritte Der Physik-Progress of Physics Pub Date : 2025-01-08 DOI:10.1002/prop.202400268

Verónica Errasti Díez, Jordi Gaset Rifà, Georgina Staudt

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引用次数: 0

摘要

提出了一种新的方法来解析证明鬼载动力系统的全局稳定性。该建议包含了所有先前的结果，并相应地扩展了它们。特别地，证明了稳定性可以从一个从下面无界的守恒量开始，这与期望相反。新颖的例子说明了所有的结果。这些发现植根于对文献的仔细研究，这是第一次全面回顾。这项工作为场论和量子化的进一步扩展奠定了数学基础，并为动力学和可积性的跨学科研究奠定了基础。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Foundations of Ghost Stability

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Foundations of Ghost Stability

The authors present a new method to analytically prove global stability in ghost-ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation. Novel examples illustrate all of the results. The findings take root on a careful examination of the literature, here comprehensively reviewed for the first time. This work lays the mathematical basis for ulterior extensions to field theory and quantization, and it constitutes a gateway for inter-disciplinary research in dynamics and integrability.

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来源期刊

Fortschritte Der Physik-Progress of Physics 物理-物理：综合

CiteScore

6.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Fortschritte der Physik - Progress of Physics is a pure online Journal (since 2013). Fortschritte der Physik - Progress of Physics is devoted to the theoretical and experimental studies of fundamental constituents of matter and their interactions e. g. elementary particle physics, classical and quantum field theory, the theory of gravitation and cosmology, quantum information, thermodynamics and statistics, laser physics and nonlinear dynamics, including chaos and quantum chaos. Generally the papers are review articles with a detailed survey on relevant publications, but original papers of general interest are also published.