Application of the Trace Formula in Pseudointegrable Systems

Details Application of the Trace Formula in Pseudointegrable Systems Application of the Trace Formula in Pseudointegrable Systems

2006-03-24

arxiv.org/abs/cond-mat/0603663v1

Physics

Condensed Matter

Statistical Mechanics

5 Pages, 4 Figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.73.066227

We apply periodic-orbit theory to calculate the integrated density of states $N(k)$ from the periodic orbits of pseudointegrable polygon and barrier billiards. We show that the results agree so well with the results obtained from direct diagonalization of the Schr\"odinger equation, that about the first 100 eigenvalues can be obtained directly from the periodic-orbit calculations in good accuracy.

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