Geodesic
General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators
Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 243-251.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/50
Classification : 47-XX, 81-XX, 00-XX
Keywords: 
@article{JEMS_2006_8_2_a8,
     author = {Jean Dolbeault and Maria J. Esteban and \'Eric S\'er\'e},
     title = {General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. {Application} to {Dirac} operators},
     journal = {Journal of the European Mathematical Society},
     pages = {243--251},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2006},
     doi = {10.4171/jems/50},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/50/}
}
TY  - JOUR
AU  - Jean Dolbeault
AU  - Maria J. Esteban
AU  - Éric Séré
TI  - General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators
JO  - Journal of the European Mathematical Society
PY  - 2006
SP  - 243
EP  - 251
VL  - 8
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/50/
DO  - 10.4171/jems/50
ID  - JEMS_2006_8_2_a8
ER  - 
%0 Journal Article
%A Jean Dolbeault
%A Maria J. Esteban
%A Éric Séré
%T General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators
%J Journal of the European Mathematical Society
%D 2006
%P 243-251
%V 8
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/50/
%R 10.4171/jems/50
%F JEMS_2006_8_2_a8
Jean Dolbeault; Maria J. Esteban; Éric Séré. General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators. Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 243-251. doi : 10.4171/jems/50. http://geodesic.mathdoc.fr/articles/10.4171/jems/50/

Cité par Sources :