CHINESE JOURNAL OF PHYSICS VOL. 40, NO. 1 FEBRUARY 2002

The Hofstadter Problem

M. K. Fung

Department of Physics, National Taiwan Normal University,
Taipei, Taiwan 116, R.O.C.
(Received August 28, 2001)

We give in this article a new discussion of the Hofstadter problem. We use the algebraic methods of conventional quantum mechanics to get the Bethe-Ansatz equation, which was previously obtained via quantum group methods. The algebraic calculations give a new derivation of the Chambers formula.

PACS. 02.30.Ik - Integrable systems.
PACS. 03.65.-w - Quantum mechanics.
PACS. 03.65.Fd - Algebraic methods.

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