English

Trace formulas for Schr\"odinger operators on star graphs

Mathematical Physics 2015-10-29 v1 math.MP

Abstract

We derive trace formulas of the Buslaev-Faddeev type for quantum star graphs. One of the new ingredients is high energy asymptotics of the perturbation determinant.

Cite

@article{arxiv.1510.08408,
  title  = {Trace formulas for Schr\"odinger operators on star graphs},
  author = {Semra Demirel-Frank and Laura Shou},
  journal= {arXiv preprint arXiv:1510.08408},
  year   = {2015}
}
R2 v1 2026-06-22T11:31:21.894Z