Dirac和次重Dirac括号的递归性质及其应用
Recursive properties of Dirac and Metriplectic Dirac brackets with Applications
摘要:
本文证明了哈密顿约束系统和非哈密顿约束系统的Dirac括号都可以递归导出。然后,我们研究了一些有趣的物理模型的分析,制定的适用性。特别注意的是在计算机代数系统中的狄拉克括号和三角矩阵的逆的分析技术的实施代码的可行性。
英文摘要:
In this article, we prove that Dirac brackets for Hamiltonian and non-Hamiltonian constrained systems can be derived recursively. We then study the applicability of that formulation in analysis of some interesting physical models. Particular attention is paid to the feasibility of implementation code for Dirac brackets in Computer Algebra System and analytical techniques for inversion of triangular matrices.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。