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
TypeCommunication / Conférence
External document linkhttp://hal.archives-ouvertes.fr/hal-00283411/en/
Conference title10th Quantum Mathematics International Conference - QMATH10
Book titleMathematical Results in Quantum Mechanics: Proceedings of the QMath10 Conference, Moieciu, Romania, 10-15 September 2007
Book authorPurice, Radu; Nenciu, Gheorghe; Beltita, Ingrid
Number of pages41-47
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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 / KeywordsDirac operator; Relativistic quantum mechanics; self-adjoint operator; Schur complement.; self-adjoint extension
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