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.
Perturbation determinant and Levinson's formula for Schrödinger operators with generalized point interaction
Perturbation determinants and trace formulas for singular perturbations
Approximation of eigenvalues of Schrödinger operators
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