Quasiclassical theory of quantum particles in two incommensurate periodic potentials

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Abstract
Quasiclassical methods, known to be applicable to the problem of a quantum particle in two incommensurate periodic potentials (for example, in charge- or spin-density-wave systems) when one period is much longer than the other, are shown to be applicable to this problem regardless of the relative magnitudes of the periods of the potentials. The method is in principle exact in that the problem may be solved to any desired degree of accuracy.