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Periodic Orbit Quantization of Chaotic Systems with Strong Pruning by Kirsten Weibert; Jörg Main; Günter Wunner is a Physics and Astronomy article available to read on EtoBox.

What is Periodic Orbit Quantization of Chaotic Systems with Strong Pruning about?

The three-disk system, which for many years has served as a paradigm for the usefulness of cycle expansion methods, represents an extremely hard problem to semiclassical quantization when the disks are moved closer and closer together, since (1) pruning of orbits sets in, rendering the symbolic code incomplete, and (2) the number of orbits necessary to obtain accurate semiclassical eigenvalues proliferates exponentially. In this note we show that an alternative method, viz. harmonic inversion, which does not rely on the existence of complete symbolic dynamics or other specific properties of systems, provides a key to solving the problem of semiclassical quantization of systems with strong pruning. For the closed three-disk system we demonstrate how harmonic inversion, augmented by a signal cross-correlation technique, allows one to semiclassically calculate the energies up to the 28th excited state with high accuracy.

Who reads Periodic Orbit Quantization of Chaotic Systems with Strong Pruning?

Author

Kirsten Weibert; Jörg Main; Günter Wunner

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0375-9601)

Published

2002

Language

EN

Field

Physics and Astronomy (Physical Sciences)