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Self-adjointness of two-dimensional Dirac operators on domains

Authors :
Benguria, Rafael D.
Fournais, Søren
Stockmeyer, Edgardo
Bosch, Hanne Van Den
Source :
Annales Henri Poincar\'e, 18(4), 1371-1383 (2017)
Publication Year :
2017

Abstract

We consider Dirac operators defined on planar domains. For a large class of boundary conditions, we give a direct proof of their self-adjointness in the Sobolev space $H^1$.<br />Comment: 12 pages. Final published version, contains results that were previously in arXiv:1601.06607

Subjects

Subjects :
Mathematical Physics

Details

Database :
arXiv
Journal :
Annales Henri Poincar\'e, 18(4), 1371-1383 (2017)
Publication Type :
Report
Accession number :
edsarx.1704.06106
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s00023-017-0554-5