Self-adjointness and spectral properties of Dirac operators with magnetic links
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Self-adjointness and spectral properties of Dirac operators with magnetic links. / Portmann, Fabian; Sok, Jérémy; Solovej, Jan Philip.
I: Journal de Mathematiques Pures et Appliquees, Bind 119, 2018, s. 114-157.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Self-adjointness and spectral properties of Dirac operators with magnetic links
AU - Portmann, Fabian
AU - Sok, Jérémy
AU - Solovej, Jan Philip
PY - 2018
Y1 - 2018
N2 - We define Dirac operators on S 3 (and R 3) with magnetic fields supported on smooth, oriented links and prove self-adjointness of certain (natural) extensions. We then analyze their spectral properties and show, among other things, that these operators have discrete spectrum. Certain examples, such as circles in S 3, are investigated in detail and we compute the dimension of the zero-energy eigenspace.
AB - We define Dirac operators on S 3 (and R 3) with magnetic fields supported on smooth, oriented links and prove self-adjointness of certain (natural) extensions. We then analyze their spectral properties and show, among other things, that these operators have discrete spectrum. Certain examples, such as circles in S 3, are investigated in detail and we compute the dimension of the zero-energy eigenspace.
KW - math-ph
KW - math.MP
KW - 81Q10 (Primary), 58C40, 57M25 (Secondary)
U2 - 10.1016/j.matpur.2017.10.010
DO - 10.1016/j.matpur.2017.10.010
M3 - Journal article
VL - 119
SP - 114
EP - 157
JO - Journal des Mathematiques Pures et Appliquees
JF - Journal des Mathematiques Pures et Appliquees
SN - 0021-7824
ER -
ID: 189672106