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Upper limits on the deviation parameter for the occurrence of band gaps in one-dimensional disordered systems

✍ Scribed by C.L. Roy; Chandan Basu

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 124 KB
Volume: 164
Category: Article
ISSN: 0375-9601
DOI: 10.1016/0375-9601(92)91121-7

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The band-structure of one-dimensional Schrodinger operators is calculated when there are (a) high potential barriers (or deep wells), or (b) a wide lattice-spacing (i.e., the distance between minima of the potential). Explicit power-series formulae and error estimates are rigorously proved. The proc

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for which the action is finite and stationary under variations, without assuming any additional boundary conditions at infinity. An element of the proof is the vanishing of the stress tensor for a finite action solution, which actually holds true for the general O(N) o-model. For the two-dimensional