论文标题
异国情调的非线性超对称性和可集成系统
Exotic nonlinear supersymmetry and integrable systems
论文作者
论文摘要
许多经典和量子系统的特性特性可以与自由粒子的特性相关，也可以源自自由粒子的特性。通过这种方式，我们解释了与Korteweg-de Vries方程相关的无反射和有限间隙量子系统中外来非线性庞加尔超对称性的外观和特殊性。使用相同的方法来解释在完全不可见的$ \ MATHCAL {PT} $ - 正规化的共形和超宪法机械系统中的非线性对称性的起源和性质。
Peculiar properties of many classical and quantum systems can be related to, or derived from those of a free particle. In this way we explain the appearance and peculiarities of the exotic nonlinear Poincaré supersymmetry in reflectionless and finite-gap quantum systems related to the Korteweg-de Vries equation. The same approach is used to explain the origin and the nature of nonlinear symmetries in the perfectly invisible $\mathcal{PT}$-regularized conformal and superconformal mechanics systems.
