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arXiv quant-ph/0606166quant-ph
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尖峰电位与量子滑降

Spiked potentials and quantum toboggans

Miloslav Znojil

摘要:

即使量子(准)粒子的运动沿着复平面中的左右对称(PT对称)曲线路径进行,束缚态的谱也可以保持物理性,即,真实的和有界的下面)。我们提出一个概括。首先,我们展示了如何拓扑不平凡(tobogganic)的轮廓可以允许生活在几张黎曼曲面。其次,散射制度的规格制定这样一类模型。

英文摘要:

Even if the motion of a quantum (quasi-)particle proceeds along a left-right-symmetric (PT-symmetric) curved path in complex plane, the spectrum of bound states may remain physical, i.e., real and bounded below). We propose a generalization. Firstly, we show how the topologically less trivial (tobogganic) contours may be allowed to live on several sheets of a Riemann surface. Secondly, the specification of a scattering regime is formulated for such a class of models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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