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Unusual quantum effects in scattering wave functions of two-dimensional cage potentials.

机译：二维笼形势散射波函数中的异常量子效应。

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摘要

We exhibit long-lived resonances in scattering from two-dimensional soft cage potentials comprised of three and four Gaussian peaks. Specific low-energy resonances with very narrow width are shown to correspond to classical multiple-reflection events. These states have much larger probability densities inside the cage than outside and mimic bound states in the sense that the symmetry-breaking effect of the incident wave is relatively small. As a result we have found that isolated states display the simple symmetry characteristics of bound states. Overlapping resonances exhibit a mixing of symmetry classes leading to wave functions of lower symmetry, like those of wider resonances at higher energy. We demonstrate that at energies below the lowest resonances of two-dimensional cages, where the distance across the entrance of the cage corresponds to less than half a wavelength, the wave function may still gain access to the interior region by squeezing its wavelength in the necessary direction at the expense of the kinetic energy in the direction normal to the opening. The resulting curvature of the wave function in the donor dimension corresponds to an imaginary wavenumber, curving away from the plane defined by zero amplitude. This mechanism for passing between obstacles may be relevant for electronic and optical devices having spatial structures with dimensions comparable to the wavelengths of the energy carriers.
机译：我们展示了由三个和四个高斯峰组成的二维软笼势散射中的长寿命共振。示出了具有非常窄的宽度的特定的低能量共振，其对应于经典的多次反射事件。从入射波的对称破坏效应相对较小的意义上来说，这些状态在笼子内部的概率密度比外部状态和模拟约束状态大得多。结果，我们发现孤立状态显示绑定状态的简单对称特征。重叠共振表现出对称性类别的混合，导致对称性较低的波函数，例如在较高能量下具有较宽共振性的波函数。我们证明了在二维笼子的最低共振以下的能量处，其中笼子的入口之间的距离对应于小于一半波长的波长，通过将波函数压缩到必要的范围内，波函数仍然可以进入内部区域在垂直于开口的方向上以动能为代价的方向。所产生的波函数在供体维度上的曲率与虚波数相对应，从零振幅定义的平面弯曲。在障碍物之间通过的这种机制可能与具有空间结构且尺寸可与能量载体的波长相当的电子和光学设备有关。

著录项

  • 作者

    Rowe, Kirk D.;

  • 作者单位

    Oregon State University.;

  • 授予单位 Oregon State University.;
  • 学科 Physics General.
  • 学位 Ph.D.
  • 年度 2005
  • 页码 111 p.
  • 总页数 111
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 物理学;
  • 关键词

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