4 citations · 7 across the 2 of their papers we have counts for
3 papers
math.SP2012★ 3 cited
The spectral shift function and Levinson's theorem for quantum star graphs
Semra Demirel
We consider the Schrödinger operator on a star shaped graph with edges joined at a single vertex. We derive an expression for the trace of the difference of the perturbed and u…
math.SP2011
Trace formulas for Schrödinger operators on the half-line
Semra Demirel, Muhammad Usman
We study the scattering problem for the Schrödinger equation on the half-line with Robin boundary condition at the origin. We derive an expression for the trace of the difference o…
math.SP2009★ 4 cited
On semiclassical and universal inequalities for eigenvalues of quantum graphs
Semra Demirel, Evans M. Harrell
We study the spectra of quantum graphs with the method of trace identities (sum rules), which are used to derive inequalities of Lieb-Thirring, Payne-Pólya-Weinberger, and Yang typ…