Nodal Sets for Groundstates of Schrödinger Operators with Zero Magnetic Field in Non Simply Connected Domains

Autor:	M. Hoffmann-Ostenhof, Bernard Helffer, M. P. Owen, Thomas Hoffmann-Ostenhof
Rok vydání:	1999
Předmět:	Operator (computer programming) Simply connected space Zero (complex analysis) Statistical and Nonlinear Physics Magnetic potential Electric potential Mathematical Physics Eigenvalues and eigenvectors Domain (mathematical analysis) Mathematics Mathematical physics Magnetic field
Zdroj:	Communications in Mathematical Physics. 202:629-649
ISSN:	1432-0916 0010-3616
DOI:	10.1007/s002200050599
Popis:	We investigate nodal sets of magnetic Schroedinger operators with zero magnetic field, acting on a non simply connected domain in $\r^2$. For the case of circulation 1/2 of the magnetic vector potential around each hole in the region, we obtain a charactisation of the nodal set, and use this to obtain bounds on the multiplicity of the groundstate. For the case of one hole and a fixed electric potential, we show that the first eigenvalue takes its highest value for circulation 1/2.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1c1faeb14c2b76556cbc5a5ea86712fd https://doi.org/10.1007/s002200050599 Zobrazit plný text záznamu Full text from SpringerLink