Self-adjointness via Hardy-like inequalities

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Date
2008
Link to item file
http://hal.archives-ouvertes.fr/hal-00283411/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
Dirac operator; Relativistic quantum mechanics; self-adjoint operator; Schur complement.; self-adjoint extension
Conference name
10th Quantum Mathematics International Conference - QMATH10
Conference date
09-2007
Conference city
Moeciu
Conference country
Roumanie
Book title
Mathematical Results in Quantum Mechanics: Proceedings of the QMath10 Conference, Moieciu, Romania, 10-15 September 2007
Author
Purice, Radu; Nenciu, Gheorghe; Beltita, Ingrid
Publisher
World Scientific Publishing Company
Year
2008
Pages number
41-47
ISBN
9812832378
URI
https://basepub.dauphine.fr/handle/123456789/880
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Author
Esteban, Maria J.
Loss, Michael
Type
Communication / Conférence
Abstract (EN)
Distinguished selfadjoint extensions of operators which are not semibounded can be deduced from the positivity of the Schur Complement (as a quadratic form). In practical applications this amounts to proving a Hardy-like inequality. Particular cases are Dirac-Coulomb operators where distinguished selfadjoint extensions are obtained for the optimal range of coupling constants.