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arXiv 1306.2226quant-phmath-phmath.MP
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变质量PT对称双异质结中的散射

Scattering in a varying mass PT symmetric double heterojunction

Anjana Sinha, R. Roychoudhury

摘要:

我们观察到,一个粒子的反射和透射系数内的双,PT对称异质结与空间变化的质量,显示有趣的功能,取决于非厄米性的程度,虽然没有PT对称性的自发击穿。在中间层的电位分布被认为是这样的,它有一个非零的虚部附近的异质结。得到了波函数的精确解析解,并绘制了反射和透射系数作为能量的函数,无论是左入射还是右入射。正如预期的那样,对质量的空间依赖性改变了异质结内散射解决方案的性质,并且时空(PT)对称性是反射和透射系数中左右不对称的原因。然而,非零虚部附近的异质结的潜在的新的和有趣的结果。

英文摘要:

We observe that the reflection and transmission coefficients of a particle within a double, PT symmetric heterojunction with spatially varying mass, show interesting features, depending on the degree of non Hermiticity, although there is no spontaneous breakdown of PT symmetry. The potential profile in the intermediate layer is considered such that it has a non vanishing imaginary part near the heterojunctions. Exact analytical solutions for the wave function are obtained, and the reflection and transmission coefficients are plotted as a function of energy, for both left as well as right incidence. As expected, the spatial dependence on mass changes the nature of the scattering solutions within the heterojunctions, and the space-time (PT) symmetry is responsible for the left-right asymmetry in the reflection and transmission coefficients. However, the non vanishing imaginary component of the potential near the heterojunctions gives new and interesting results.

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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