Generating functions for irreversible Hamiltonian systems

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics Pub Date : 2025-06-30 DOI:10.1016/j.geomphys.2025.105578

Dan Goreac , Jonas Kirchhoff , Bernhard Maschke

引用次数: 0

Abstract

The definition of conservative-irreversible functions is extended to smooth manifolds. Local representation of these functions is studied and reveals that they can not necessarily be given as the weighted product of almost Poisson brackets, but as the sum of such. The biquadratic functions induced by conservative-irreversible functions are studied and demonstrate a possibility for an algebraic framework on arbitrary and in particular complex algebras.

查看原文本刊更多论文

生成不可逆哈密顿系统的函数

将保守不可逆函数的定义推广到光滑流形。研究了这些函数的局部表示，揭示了它们不一定是几乎泊松括号的加权积，而可以是几乎泊松括号的和。研究了由保守不可逆函数导出的双二次函数，并证明了在任意代数特别是复代数上建立代数框架的可能性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity