Instability of the continuous spectrum: The N‐band Stark ladder

作者: J. E. Avron , J. Zak , A. Grossmann , L. Gunther

DOI: 10.1063/1.523360

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摘要: It is shwn that the energy spectrum of Bloch electron in an external field continuous. Furthermore, it shown all approximations which take into account interband coupling whithin groups finite number bands (the N‐band approximation) lead to a pure‐point intertwining Wannier‐stark ladders. This instability continuous under approximation related theorem due Weyl and von Neumann. Approximation methods for dealing with within group are given.

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