论文标题

将量子波阻抗方法应用于零范围的奇异电位

Application of a quantum wave impedance method for zero-range singular potentials

论文作者

Hryhorchak, O. I.

论文摘要

考虑了量子波阻抗方法的应用,以研究量子机械系统的研究,该系统构成了奇数零范围的势。它显示了如何根据量子波阻抗对上述系统进行调查的问题。结果,对于单个$δ$,double $δ$和单$δ-δ'$电势的系统,散射和结合状态问题均已解决。借助量子波阻抗方法的派赛恒定电势和$Δ$ - 电势的任意组合的求解系统的形式化。

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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