Geodesic
Structure of the spectrum of a bloch electron in a magnetic field in a two-dimensional lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 140-149 
V. A. Geiler; V. A. Margulis. Structure of the spectrum of a bloch electron in a magnetic field in a two-dimensional lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 140-149. http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a12/
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     title = {Structure of the spectrum of a bloch electron in a magnetic field in a two-dimensional lattice},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of the Hamiltonian H of an electron in a two-dimensional lattice of point potentials in a transverse magnetic field whose flux is rational. An expansion of H in a direct integral over a two-dimensional torus of the reciprocal lattice of operators described by finite-dimensional matrices is obtained. This expansion is used to investigate the structure of the spectrum of H, whose continuum eigenfunctions are found.

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