Application of the trace formula in pseudointegrable systems.
We apply periodic-orbit theory to calculate the integrated density of states N(k) of the quantum mechanical eigenvalues from the periodic orbits of pseudointegrable polygon and barrier billiards. We show that the results agree so well with the density of states obtained from numerical solutions of the Schrödinger equation that about the first 100 eigenvalues can be obtained directly from the periodic-orbit calculations with good accuracy.
Russ
Stefanie
S
Institut für Theoretische Physik III, Justus-Liebig-Universität Giessen, D-35392 Giessen, Germany.
Mellenthin
Jesper
J