Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : This paper is concerned with {an extension and reinterpretation } of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. {We state} two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then, these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.
 
 
General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators.
DOLBEAULT Jean, ESTEBAN Maria J., SERE Eric
2005-47
28-10-2005
 
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