论文标题
2N维规范系统和应用
2N-Dimensional Canonical Systems and Applications
论文作者
论文摘要
我们研究了2N维规范系统，并讨论其基本解决方案的某些特性。然后，我们讨论周期性规范系统的Floquet理论，并观察其解决方案的渐近行为。还讨论了系统的一些重要物理应用：周期性哈密顿系统的线性稳定性，依赖位置的有效质量，伪周期性非线性水浪和狄拉克系统。
We study the 2N-dimensional canonical systems and discuss some properties of its fundamental solution. We then discuss the Floquet theory of periodic canonical systems and observe the asymptotic behavior of its solution. Some important physical applications of the systems are also discussed: linear stability of periodic Hamiltonian systems, position-dependent effective mass, pseudo-periodic nonlinear water waves, and Dirac systems.
