On Schrödinger operators with $δ'$-potentials supported on star graphs

Autor:	Konstantin Pankrashkin, Marco Vogel
Rok vydání:	2022
Předmět:	Mathematics - Spectral Theory Statistics and Probability Modeling and Simulation FOS: Mathematics General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Spectral Theory (math.SP) Mathematical Physics
DOI:	10.48550/arxiv.2207.01617
Popis:	The spectral properties of two-dimensional Schr\"odinger operators with $\delta'$-potentials supported on star graphs are discussed. We describe the essential spectrum and give a complete description of situations in which the discrete spectrum is non-trivial but finite. A more detailed study is presented for the case of a star graph with two branches, in particular, the small angle asymptotics for the eigenvalues is obtained. Comment: 20 pages. A slightly revised version is published in J. Phys. A
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d6f5c68fe96bd4c991906e452c56ecd Zobrazit plný text záznamu