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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
Show full item record
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

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