Numerical method to calculate the quantum transmission, resonance and eigenvalue energies: application to a biased multibarrier systems

Maiz, F.

doi:10.1016/j.physb.2015.02.002

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2020

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“…A detailed analysis shows that the peak at E ≈ 2.85 is due to the single zero of J(E). A close-lying peak at E ≈ 2.72 is due to the phase factor sin nα(E) in equation (7). There are 6 peaks of total transmission in band j = 3.…”

Section: Introduction and Presentation Of Resultsmentioning

confidence: 98%

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

Thylwe

2020

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A transmission phenomenon for a quantal particle scattered through a multiwell 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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Section: Introduction and Presentation Of Resultsmentioning

confidence: 98%

“…The quantity Λ is expressed with the use of (7). With known exact elements in Ω, scattering boundary conditions (3a) and (3b) can be re-interpreted in terms of amplitude-phase quantities.…”

Section: Discussionmentioning

confidence: 99%

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

Thylwe

2020

Preprint

View full text Add to dashboard Cite

show abstract

Numerical method to calculate the quantum transmission, resonance and eigenvalue energies: application to a biased multibarrier systems

Cited by 1 publication

References 34 publications

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

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

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