Spectral flow of exterior Landau–Robin hamiltonians

Autor:	Magnus Goffeng, Elmar Schrohe
Rok vydání:	2017
Předmět:	Physics Dirichlet problem Mathematical analysis Spectral flow Statistical and Nonlinear Physics Mathematics::Spectral Theory symbols.namesake symbols Geometry and Topology Boundary value problem Hamiltonian (quantum mechanics) Heuristics Computer Science::Operating Systems Mathematical Physics
Zdroj:	Journal of Spectral Theory. 7:847-879
ISSN:	1664-039X
DOI:	10.4171/jst/179
Popis:	We study the spectral flow of Landau-Robin hamiltonians in the exterior of a compact domain with smooth boundary. This provides a method to study the spectrum of the exterior Landau-Robin hamiltonian's dependence on the choice of Robin data, even explaining the heuristics of how the spectrum of the Robin problem asymptotically tends to the spectrum of the Dirichlet problem. The main technical result concerns the continuous dependence of Landau-Robin hamiltonians on the Robin data in the gap topology. The problem can be localized to the compact boundary where the asymptotic behavior of the spectral flow in some special cases can be described.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::72da7c4538c191257cc75adec1f3615c https://doi.org/10.4171/jst/179 Zobrazit plný text záznamu