Abstract
We study the statistics of wave functions in a ballistic chaotic system. The statistical ensemble is generated by adding weak smooth random potential, which allows us to apply the ballistic σ-model approach. We analyze conditions of applicability of the σ-model, emphasizing the role played by the single-particle mean free path and the Lyapunov exponent due to the random potential. In particular, we present a resolution of the puzzle of repetitions of periodic orbits counted differently by the σ-model and by the trace formula.
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Gornyi, I.V., Mirlin, A.D. From Quantum Disorder to Quantum Chaos. Journal of Low Temperature Physics 126, 1339–1354 (2002). https://doi.org/10.1023/A:1013848220378
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DOI: https://doi.org/10.1023/A:1013848220378