Year: 2012
Type: article
Abstract: We consider the Schrödinger operator on a star shaped graph with n edges joined at a single vertex. We derive an expression for the trace of the difference of the perturbed and unperturbed resolvent in terms of a Wronskian. This leads to representations for the perturbation determinant and the spectral shift function, and to an analog of Levinson's formula.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.4746158
Author: Semra Demirel
Institution: University of Stuttgart
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2095406536