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Application of the Trace Formula in Pseudointegrable Systems

Stefanie Russ·Jesper Mellenthin
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Abstract

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 Schrödinger equation, that about the first 100 eigenvalues can be obtained directly from the periodic-orbit calculations in good accuracy.

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Stefanie Russ, Jesper Mellenthin. 2006-03-24. Application of the Trace Formula in Pseudointegrable Systems. https://doi.org/10.1103/physreve.73.066227

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