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- W2963058078 abstract "We investigate the transmission properties of a quantum one-dimensional periodic system of fixed length L, with N barriers of constant height V and width λ, and N wells of width δ. In particular, we study the behaviour of the transmission coefficient in the limit N → ∞, with L fixed. This is achieved by letting δ and λ both scale as 1/N, in such a way that their ratio γ = λ/δ is a fixed parameter characterizing the model. In this continuum limit the multi-barrier system behaves as it were constituted by a unique barrier of constant height Eo = (γV )/(1 + γ). The analysis of the dispersion relation of the model shows the presence of forbidden energy bands at any finite N." @default.
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- W2963058078 date "2015-06-03" @default.
- W2963058078 modified "2023-09-23" @default.
- W2963058078 title "A continuum limit for the Kronig–Penney model" @default.
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- W2963058078 doi "https://doi.org/10.1088/1742-5468/2015/06/p06006" @default.
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