2001/07/26 by I. V. Gornyi, A. D. Mirlin · 3 citations
Physics and Astronomy · #Chaos control and synchronization #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.1023/a:1013848220378
published as J. Low Temp. Phys., 126, 1339 (2002) · 15 pages, no figures. Contribution to a special issue of J. Low Temp. Phys. dedicated to Peter Woelfle's 60th birthday
arxiv created 2001/07/26 · openalex publication_date 2002/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.