The Weyl Series and the Trace formula: can we add them?

Details The Weyl Series and the Trace formula: can we add them? The Weyl Series and the Trace formula: can we add them?

1998-03-12

arxiv.org/abs/chao-dyn/9803015v2

Phys. Rev. A vol. 50, R911 (1999)

Physics

Condensed Matter

Statistical Mechanics

Substantial changes. There are now explicit asymptotic relations as well as a deeper analysis of the analytic structure of the

Scientific paper

10.1103/PhysRevA.59.R911

Periodic orbit expressions for the density of states lead to spurious results when directly used to calculate quantities of thermodynamic interest. This is because the trace formula is usually valid only for large energies while the calculations make use of it at all energies. We present a prescription for circumventing this problem by isolating contributions which arise from the inaccurate low-energy behavior, and are spurious, from other subdominant contributions which are physical and are not contained in the Weyl series. The method is tested by analyzing the fermionic grand partition function for a disk billiard and may readily be extended to other dynamical systems.

Affiliated with

Also associated with

No associations

Rating

The Weyl Series and the Trace formula: can we add them? 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 The Weyl Series and the Trace formula: can we add them?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Weyl Series and the Trace formula: can we add them? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558036