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

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

1997-03-05

arxiv.org/abs/chao-dyn/9703005v1

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1088/0951-7715/10/4/011

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 log(hbar)
terms. Some examples of these anomalous terms are calculated both numerically
and analytically.

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