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

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

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

Cited by in corpus (4)

• The classical limit for a class of quantum baker's maps
• Quantum baker map on the sphere
• The Construction of a Quantum Markov Partition
• Periodic orbit quantization of a Hamiltonian map on the sphere