论文标题

嵌入式局部周期电位的量子传输 - 振幅相距

Quantum transmission for embedded, locally periodic potentials -- amplitude-phase approaches

论文作者

Thylwe, Karl-Erik

论文摘要

分析了通过对称外部电势包围的局部周期电势的量子颗粒传递。定位总传输的能量峰的封闭形式的条件将得出。定义并发现Floquet/Bloch能带类型会影响传输带中的峰值。讨论了带类型和带融合现象的修改。所建议的理论方法由表达schrödinger波作为振幅函数的几种方法组成,该振幅函数将相位函数的谐波函数倍增。特别是,针对本地周期性区域描述了包含Floquet/Bloch周期振幅函数和相应相位函数的方法,从而可以为总传输能量指定量子数。

Quantum particle transmission through locally periodic potentials surrounded by symmetric exterior potentials is analyzed. Closed-form conditions for locating energy peaks of total transmission are derived. Floquet/Bloch energy band types are defined and found to affect the number of peaks in transmission bands. Modifications of band types and a band fusion phenomenon are discussed. The theoretical approaches suggested consist of several ways to express a Schrödinger wave as an amplitude function multiplying a harmonic function of a phase function. In particular, an approach containing a Floquet/Bloch periodic amplitude function and a corresponding phase function is described for the locally periodic region, allowing a way to specify quantum numbers for energies of total transmission.

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