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Self-adjointness via Hardy-like inequalities

Esteban, Maria J.; Loss, Michael (2008), Self-adjointness via Hardy-like inequalities, in Purice, Radu; Nenciu, Gheorghe; Beltita, Ingrid, Mathematical Results in Quantum Mechanics: Proceedings of the QMath10 Conference, Moieciu, Romania, 10-15 September 2007, World Scientific Publishing Company

Type
Communication / Conférence
External document link
http://hal.archives-ouvertes.fr/hal-00283411/en/
Date
2008
Conference title
10th Quantum Mathematics International Conference - QMATH10
Conference date
2007-09
Conference city
Moeciu
Conference country
Roumanie
Book title
Mathematical Results in Quantum Mechanics: Proceedings of the QMath10 Conference, Moieciu, Romania, 10-15 September 2007
Book author
Purice, Radu; Nenciu, Gheorghe; Beltita, Ingrid
Publisher
World Scientific Publishing Company
ISBN
9812832378
Number of pages
41-47
Metadata
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Author(s)
Esteban, Maria J. cc
Loss, Michael
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.
Subjects / Keywords
Dirac operator; Relativistic quantum mechanics; self-adjoint operator; Schur complement.; self-adjoint extension