Abstract
Motivated by the recent findings of Wiegmann-Zabrodin and Faddeev-Kashaev, concerning the appearance of the quantum symmetry in the problem of a Bloch electron on a two-dimensional magnetic lattice, we introduce a modification of the tight binding Azbel-Hofstadter Hamiltonian, that is a specific spin-S Euler top that can be considered as its `classical' analogue. The eigenvalue problem for the proposed model, in the coherent state representation, is described by the S-gap Lame equation and, thus, is completely solvable. We observe a striking similarity between the shapes of the spectra of the two models for various values of the spin S.
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