Spectrum of the Schrödinger Equation on a Self-Similar Structure
- 18 October 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (16), 1194-1197
- https://doi.org/10.1103/physrevlett.49.1194
Abstract
The spectrum of the Schrödinger equation, with magnetic field, on a model self-similar structure is considered. Nesting properties are formulated. Low-field behavior of the spectrum edge (of interest for superconductive diamagnetism) is discussed. Comparison between self-similar structures and regular lattices is emphasized.Keywords
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