双哈密顿结构与帕斯-乌亨贝克模型的等价表示
数学物理
2025-10-01 v1 math.MP
摘要
我们对帕斯-乌亨贝克振子可能嵌入二维空间的所有方式进行了完整分类。我们讨论了该模型的双哈密顿结构，并检讨了如何从该理论的动力学李对称性生成替代哈密顿结构。我们 then also examine how the Bi-Hamiltonian structure may be exploited to evade the problem of unbounded Hamiltonians that is usually associated with Higher Time Derivative Theories. The effect of interactions on this Bi-Hamiltonian structure is also considered.（我们还考察了如何利用双哈密顿结构来规避通常与高阶时间导数理论相关的哈密顿量无界问题。也考虑了相互作用对该双哈密顿结构的影响。）
引用
@article{arxiv.2509.26477,
title = {Bi-Hamiltonian Structures and Equivalent Representations of the Pais-Uhlenbeck Model},
author = {Bethan Turner},
journal= {arXiv preprint arXiv:2509.26477},
year = {2025}
}