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math-ph2015★ 3 cited
Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials
C. A. Marx, L. H. Shou, J. L. Wellens
We give a criterion implying subcritical behavior for quasi-periodic Schrödinger operators where the potential sampling function is given by a trigonometric polynomial. Subcritical…
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.