Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1999-04-22
Nonlinear Sciences
Chaotic Dynamics
4 pages, 1 ps figure
Scientific paper
10.1088/0305-4470/33/25/311
We have developed a semiclassical theory of short periodic orbits to obtain all quantum information of a bounded chaotic Hamiltonian system. If T_1 is the period of the shortest periodic orbit, T_2 the period of the next one and so on, the number N_p.o. of periodic orbits required in the calculation is such that T_1+...+T_N_{p.o} is approximately T_H, with T_H the Heisenberg time. As a result N_p.o \simeq h T_{H}/\ln (h T_{H}), where h is the topological entropy. For methods related to the trace formula N_{p.o} \simeq \exp(h T_{H})/ (h T_{H}).
No associations
LandOfFree
Semiclassical Theory of Short Periodic Orbits in Quantum Chaos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Semiclassical Theory of Short Periodic Orbits in Quantum Chaos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical Theory of Short Periodic Orbits in Quantum Chaos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-252935