周期势的非局部超对称形变
Nonlocal supersymmetric deformations of periodic potentials
摘要：
不可约的二阶达布变换应用于周期薛定谔算子。结果表明，对于同一禁带内的因子分解能量对，它们可以产生新的非奇异势与周期性缺陷和束缚态嵌入到光谱间隙。该方法适用于拉梅和周期性的分段透明电位。一个有趣的现象，平移达布不变性揭示了超对称变形的非局部方面。
英文摘要：
Irreducible second-order Darboux transformations are applied to the periodic Schrodinger's operators. It is shown that for the pairs of factorization energies inside of the same forbidden band they can create new non-singular potentials with periodicity defects and bound states embedded into the spectral gaps. The method is applied to the Lame and periodic piece-wise transparent potentials. An interesting phenomenon of translational Darboux invariance reveals nonlocal aspects of the supersymmetric deformations.
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