An exact periodic-orbit formula for the energy levels of the three-pronged star graph

作者:Pastore Z S*; Blumel R
来源:Journal of Physics A-Mathematical and Theoretical, 2009, 42(13): 135102.
DOI:10.1088/1751-8113/42/13/135102

摘要

We derive an exact periodic-orbit expansion formula for the energy levels of the three-pronged star graph. In addition, we present a proof of the 'one-root-per-root-cell' property and derive exact periodic-orbit sum rules. A spin-off of our periodic-orbit formulae is novel arithmetic series for pi(2).

  • 出版日期2009-4-3