量子波导的弯曲与贝塞尔函数的叉积
The bends on a quantum waveguide and cross-products of Bessel functions
摘要：
详细分析了弯曲的波模结构，并将其纳入一个稳定的算法计算弯曲的散射矩阵。计算是基于模态方法。数值和解析分析了算法的稳定性和精度。该算法能够精确地数值计算弯曲处的散射。反射是一个纯粹的量子现象，并在更大的能量间隔更详细地讨论。的反射的行为部分地解释了一个一维的散射模型和启发式计算的散射矩阵的窄弯。在同样的精神，我们解释的数值结果的维格纳-史密斯延迟时间的弯曲。
英文摘要：
A detailed analysis of the wave-mode structure in a bend and its incorporation into a stable algorithm for calculation of the scattering matrix of the bend is presented. The calculations are based on the modal approach. The stability and precision of the algorithm is numerically and analytically analysed. The algorithm enables precise numerical calculations of scattering across the bend. The reflection is a purely quantum phenomenon and is discussed in more detail over a larger energy interval. The behaviour of the reflection is explained partially by a one-dimensional scattering model and heuristic calculations of the scattering matrix for narrow bends. In the same spirit we explain the numerical results for the Wigner-Smith delay time in the bend.
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