most citedSharp eigenvalue bounds on quantum star graphs

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math-ph2015

Trace formulas for Schrödinger operators on star graphs

Semra Demirel-Frank, Laura Shou

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.

math.SP2015★ 1 cited

Sharp eigenvalue bounds on quantum star graphs

Semra Demirel-Frank

We prove that the optimal constant in the Lieb--Thirring inequality on a star graph with edges coincides with that on if is even. For odd we show that this…