PT对称可分势的束缚态
Bound states of PT-symmetric separable potentials
摘要：
到目前为止所研究的所有PT对称势都是局部的。本文研究了$V(x,y)=iε[U(x)U(y)-U(-x)U(-y)]$形式的非局部PT对称可分势，其中$U(x)$为实数.两个具体的模型进行检查。在每种情况下，它示出，有一个参数区域的耦合强度$ε$的PT对称性的哈密顿量是未破的和束缚态能量是真实的。计算了该区域的$ε$临界值。
英文摘要：
All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=iε[U(x)U(y)-U(-x)U(-y)]$, where $U(x)$ is real, are examined. Two specific models are examined. In each case it is shown that there is a parametric region of the coupling strength $ε$ for which the PT symmetry of the Hamiltonian is unbroken and the bound-state energies are real. The critical values of $ε$ that bound this region are calculated.
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