Note on a Floquet/Bloch-band fusion phenomenon in scattering by truncated periodic multi-well potentials

K-E Thylwe

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arXiv · 2007.02630

Note on a Floquet/Bloch-band fusion phenomenon in scattering by truncated periodic multi-well potentials

K-E Thylwe

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Abstract

A transmission phenomenon for a quantal particle scattered through a multi-well potential in one dimension is observed by means of an amplitude-phase method. The potential model consists of $N$ identical potential cells, each containing a symmetric well. Typical transmission bands contain $N-1$ possible energies of total transmission. It is found that certain band types contain $n$ energies of total transmission. A fusion phenomenon of this type of band with a typical neigboring band is also found. As the transmission gap between them collapse and disappear, a resulting fused single band is seen to contain $2N-1$ energy peaks of total transmission.

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K-E Thylwe. 2020-07-06. Note on a Floquet/Bloch-band fusion phenomenon in scattering by truncated periodic multi-well potentials. https://arxiv.org/abs/2007.02630

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