Transmission Properties of the oscillating delta-function potential

Details Transmission Properties of the oscillating delta-function potential Transmission Properties of the oscillating delta-function potential

2001-06-14

arxiv.org/abs/cond-mat/0106264v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

21 pages, 12 figures, 1 table

Scientific paper

10.1103/PhysRevB.64.245315

We derive an exact expression for the transmission amplitude of a particle moving through a harmonically driven delta-function potential by using the method of continued-fractions within the framework of Floquet theory. We prove that the transmission through this potential as a function of the incident energy presents at most two real zeros, that its poles occur at energies $n\hbar\omega+\varepsilon^*$ ($0

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