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Boundary contributions to the semiclassical traces of the baker's map

1997/03/05 by F. Toscano, F Toscano, R. O. Vallejos +3 · 1 citation
Mathematics · Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #chao-dyn #nlin.CD

paper · pdf · doi:10.1088/0951-7715/10/4/011

17 latex pages, 4 postscript figures. To be published in Nonlinearity

arxiv created 1997/03/05 · openalex publication_date 1997/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We evaluate the leading asymptotic contributions to the traces of the quantum baker's map propagator. Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous terms. Some examples of these anomalous terms are calculated both numerically and analytically.

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