论文标题
超对称Pöschl-Teller电位中量子颗粒的自相关函数
Autocorrelation functions for quantum particles in supersymmetric Pöschl-Teller Potentials
论文作者
论文摘要
我们考虑了限制在三角pöschl-teller合作伙伴电位上的超对称量子机械系统（由费米和玻色子组成）的自相关功能。随着初始状态的定位为无限，我们研究了重新定位的自相关函数的极限（随机时间）。可以使用在适当定义的均匀空间上的雅各比theta函数对描述限制分布，这是Cellarosi和Marklof工作的必然性。 Contreras-Astorga和Fernández的建设提供了我们分析适用的大量Pöschl-Teller合作伙伴潜力。
We consider autocorrelation functions for supersymmetric quantum mechanical systems (consisting of a fermion and a boson) confined in trigonometric Pöschl-Teller partner potentials. We study the limit of rescaled autocorrelation functions (at random time) as the localization of the initial state goes to infinity. The limiting distribution can be described using pairs of Jacobi theta functions on a suitably defined homogeneous space, as a corollary of the work of Cellarosi and Marklof. A construction by Contreras-Astorga and Fernández provides large classes of Pöschl-Teller partner potentials to which our analysis applies.
