# Evolution and exact eigenstates of a resonant quantum system.

@article{Chang1986EvolutionAE,
title={Evolution and exact eigenstates of a resonant quantum system.},
author={Luke L. Y. Chang and Huang Runshen},
journal={Physical review. A, General physics},
year={1986},
volume={34 1},
pages={
7-22
}
}
We consider the generalized quantum Chirikov map under a resonance condition 2\ensuremath{\pi}\ensuremath{\Elzxh}=M/N. This is the quantum-resonance condition discovered by Casati et al. At the resonance, the quantum system reduces to a set of independent N\ifmmode\times\else\texttimes\fi{}N unitary matrix eigenequations. We can reduce the evolution operator of the original system as a direct sum of these N\ifmmode\times\else\texttimes\fi{}N unitary matrices. We then obtain the eigenstates and… CONTINUE READING
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