量子波阻抗法在零程奇异势中的应用
Application of a quantum wave impedance method for zero-range singular potentials
摘要：
本文应用量子波阻抗方法研究了含奇异零程势的量子力学系统。它显示了如何重新制定的问题的调查中提到的系统的量子波阻抗。结果解决了单$δ$、双$δ$和单$δ-δ'$势体系的散射和束缚态问题。利用量子波阻抗方法，给出了求解具有逐段常势和$δ$ -势任意组合的系统的形式化方法。
英文摘要：
An application of a quantum wave impedance method for a study of quantum-mechanical systems which con\-tain singular zero-range potentials is considered. It was shown how to reformulate the problem of an investigation of mentioned systems in terms of a quantum wave impedance. As a result both the scattering and bound states problems are solved for systems of single $δ$, double $δ$ and single $δ-δ'$ potentials. The formalization of solving systems with an arbitrary combination of a piesewise constant potential and a $δ$-potentials with the help of a quantum wave impedance approach is described.
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