Supertransparent potentials for the Dirac equation
Supertransparent potentials for the Dirac equation
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DOI：
10.1088/0305-4470/27/24/032
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发表时间：
1994-12
期刊：
影响因子：
--
通讯作者：
A. Stahlhofen
中科院分区：
文献类型：
--
作者：
A. Stahlhofen
将经典达布变换推广到一维狄拉克方程，构造了允许嵌入本征值的von Neumann-Wigner势.这些潜在的导致一种新型的散射问题的平凡的S-矩阵组成的消失的反射系数和平凡的传输系数。相关的主题，如潜在的对称性的狄拉克方程和非线性演化方程的正子解的连接进行了讨论。
An extension of the classical Darboux transformations is applied to the one-dimensional Dirac equation in order to construct von Neumann-Wigner potentials allowing embedded eigenvalues. These potentials lead to a novel type of scattering problem with a trivial S-matrix composed of vanishing reflection coefficients and a trivial transmission coefficient. Related topics like the underlying symmetry of the Dirac equation and the connection with positon solutions of nonlinear evolution equations are discussed.