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- W1999687510 abstract "The spectral properties of a Hamiltonian dependent on a parameter α are investigated. Due to the linearity in momentum and periodicity it was possible to strengthen some known results for the analogous kicked model. It is rigorously shown that, for any potential in a ‘‘large’’ set, the spectrum is pure for each fixed value of α. Depending on the arithmetic character of α the spectrum is pure absolutely continuous, pure singular continuous, or pure point. It is also shown that in some sense the classical dynamics is identical to the quantum one." @default.
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- W1999687510 date "1993-09-01" @default.
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- W1999687510 title "Spectral properties of a simple Hamiltonian model" @default.
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- W1999687510 doi "https://doi.org/10.1063/1.530012" @default.
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