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Fractal spectrum of periodic quantum systems in a magnetic field. (English) Zbl 1116.81313
Summary: Models of two-dimensional periodic quantum-mechanical systems in a uniform magnetic field are considered. Results of the numerical analysis of the energy spectrum for these models are presented. The flux-energy diagrams for the magnetic Bloch bands are obtained. Evidence for a fractal structure of these diagrams is given.

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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