Spectral analysis of the Dirac system with a singularity in an interior point

2014/10/08 by Oleg Gorbunov, Gorbunov, Oleg, Chung‐Tsun Shieh +3
Mathematics · Physics and Astronomy · #34L40 34A36 47E05 #Algebraic and Geometric Analysis #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1410.2020

openalex publication_date 2014/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the non-selfadjoint Dirac system on the line having an non-integrable regular singularity in an interior point with additional matching conditions at the singular point. Special fundamental systems of solutions are constructed with prescribed analytic and asymptotic properties. Behavior of the corresponding Stockes multipliers is established. These fundamental systems of solutions will be used for studying direct and inverse problems of spectral analysis.

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