We discuss the relation between continuum bound states (CBSs) localized on a defect, and surface states of a finite periodic system. We model an experiment of Capasso et al. [F. Capasso, C. Sirtori, J. Faist, D. L. Sivco, S-N. G. Chu, and A. Y. Cho, Nature (London) 358, 565 (1992)] using the transfer-matrix method. We compute the rate for intrasubband transitions from the ground state to the CBS and derive a sum rule. Finally we show how to improve the confinement of a CBS while keeping the energy fixed.
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机译：我们讨论了局部缺陷上的连续束缚态（CBS）与有限周期系统的表面态之间的关系。我们为Capasso等人的实验建模。 [F。 Capasso，C.Sirtori，J.Faist，D.L.Sivco，S-N。 [G.Chu and A.Y.Cho，Nature（London）358，565（1992）]使用转移矩阵方法。我们计算从基态到CBS的子带内过渡速率，并得出求和规则。最后，我们展示了如何在保持能量固定的同时改善CBS的局限性。
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