Analysis of zero modes for Dirac operators with magnetic links
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Analysis of zero modes for Dirac operators with magnetic links. / Portmann, Fabian; Sok, Jérémy; Solovej, Jan Philip.
I: Journal of Functional Analysis, Bind 275, Nr. 3, 2018, s. 604-659.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Analysis of zero modes for Dirac operators with magnetic links
AU - Portmann, Fabian
AU - Sok, Jérémy
AU - Solovej, Jan Philip
PY - 2018
Y1 - 2018
N2 - n this paper we provide a means to approximate Dirac operators with magnetic fields supported on links in (and ) by Dirac operators with smooth magnetic fields. Then we proceed to prove that under certain assumptions, the spectral flow of paths along these operators is the same in both the smooth and the singular case. We recently characterized the spectral flow of such paths in the singular case. This allows us to show the existence of new smooth, compactly supported magnetic fields in for which the associated Dirac operator has a non-trivial kernel. Using Clifford analysis, we also obtain criteria on the magnetic link for the non-existence of zero modes.
AB - n this paper we provide a means to approximate Dirac operators with magnetic fields supported on links in (and ) by Dirac operators with smooth magnetic fields. Then we proceed to prove that under certain assumptions, the spectral flow of paths along these operators is the same in both the smooth and the singular case. We recently characterized the spectral flow of such paths in the singular case. This allows us to show the existence of new smooth, compactly supported magnetic fields in for which the associated Dirac operator has a non-trivial kernel. Using Clifford analysis, we also obtain criteria on the magnetic link for the non-existence of zero modes.
U2 - 10.1016/j.jfa.2017.12.006
DO - 10.1016/j.jfa.2017.12.006
M3 - Journal article
VL - 275
SP - 604
EP - 659
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 3
ER -
ID: 190444102