Self-adjointness and spectral properties of Dirac operators with magnetic links

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Standard

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

Harvard

Portmann, F, Sok, J & Solovej, JP 2018, 'Self-adjointness and spectral properties of Dirac operators with magnetic links', Journal de Mathematiques Pures et Appliquees, bind 119, s. 114-157. https://doi.org/10.1016/j.matpur.2017.10.010

APA

Portmann, F., Sok, J., & Solovej, J. P. (2018). Self-adjointness and spectral properties of Dirac operators with magnetic links. Journal de Mathematiques Pures et Appliquees, 119, 114-157. https://doi.org/10.1016/j.matpur.2017.10.010

Vancouver

Portmann F, Sok J, Solovej JP. Self-adjointness and spectral properties of Dirac operators with magnetic links. Journal de Mathematiques Pures et Appliquees. 2018;119:114-157. https://doi.org/10.1016/j.matpur.2017.10.010

Author

Portmann, Fabian ; Sok, Jérémy ; Solovej, Jan Philip. / Self-adjointness and spectral properties of Dirac operators with magnetic links. I: Journal de Mathematiques Pures et Appliquees. 2018 ; Bind 119. s. 114-157.

Bibtex

@article{9b04c6c1a3d44795bfc00d0d170ad7a9,
title = "Self-adjointness and spectral properties of Dirac operators with magnetic links",
abstract = "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. ",
keywords = "math-ph, math.MP, 81Q10 (Primary), 58C40, 57M25 (Secondary)",
author = "Fabian Portmann and J{\'e}r{\'e}my Sok and Solovej, {Jan Philip}",
year = "2018",
doi = "10.1016/j.matpur.2017.10.010",
language = "English",
volume = "119",
pages = "114--157",
journal = "Journal des Mathematiques Pures et Appliquees",
issn = "0021-7824",
publisher = "Elsevier Masson",

}

RIS

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