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- W1966915596 abstract "A closed analytical expression for the time-dependent probability density of transmitted particles in superlattices is derived from a formal solution of the time-dependent Schrodinger equation. Such an expression consists of Breit-Wigner type resonance terms and interference contributions with explicit time dependence, which is applied to different superlattices to describe step-by-step how the transmission resonances are constructed as a function of time. In particular, it is found that for incidence at a resonance of position ${ensuremath{varepsilon}}_{n}$ and width ${ensuremath{Gamma}}_{n},$ the buildup of the transmission peaks is governed by a simple exponential law ${mathcal{T}}_{n}({ensuremath{varepsilon}}_{n}{,t)=T}_{n}^{mathrm{peak}}[1ensuremath{-}mathrm{exp}(ensuremath{-}{ensuremath{Gamma}}_{n}t/2ensuremath{Elzxh}){]}^{2},$ where ${mathcal{T}}_{n}({ensuremath{varepsilon}}_{n},t)$ is the probability density at the right edge of the superlattice and ${T}_{n}^{mathrm{peak}}$ the height of the corresponding transmission peak. We show that our results are valid for periodic superlattices as well as for asymmetrical or even disordered potential profiles." @default.
- W1966915596 created "2016-06-24" @default.
- W1966915596 creator A5048055577 @default.
- W1966915596 date "2002-12-19" @default.
- W1966915596 modified "2023-09-25" @default.
- W1966915596 title "Buildup dynamics of transmission resonances in superlattices" @default.
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- W1966915596 doi "https://doi.org/10.1103/physrevb.66.245311" @default.
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