Trace formulas for Schrödinger operators on star graphs

2015/10/28 by Semra Demirel-Frank, Demirel-Frank, Semra, Laura Shou +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Random Matrices and Applications #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1510.08408

arxiv created 2015/10/28 · openalex publication_date 2015/10/28 · arxiv updated 2015/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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