论文标题
听到量子边界条件的形状
Hearing the shape of a quantum boundary condition
论文作者
论文摘要
我们研究了与连接点限制在环中的自由量子粒子的同志问题，分析了相应的哈密顿量在交界处的边界条件方面的所有自我参与实现。特别是，通过通过光谱函数来表征能量光谱，我们将两个类别的自我伴侣实现分类，从而确定所有同一汉密尔顿人的家族。事实证明，这两个类别是通过奇偶校验的行动（即空间反思）来辨别的，这在我们的讨论中起着核心作用。
We study the isospectrality problem for a free quantum particle confined in a ring with a junction, analyzing all the self-adjoint realizations of the corresponding Hamiltonian in terms of a boundary condition at the junction. In particular, by characterizing the energy spectrum in terms of a spectral function, we classify the self-adjoint realizations in two classes, identifying all the families of isospectral Hamiltonians. These two classes turn out to be discerned by the action of parity (i.e. space reflection), which plays a central role in our discussion.
