Non-Real Eigenvalues for -Symmetric Double Wells
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Non-Real Eigenvalues for -Symmetric Double Wells |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Benbernou A, Boussekkine N, Mecherout N, Ramond T, Sjostrand J |
| Journal | LETTERS IN MATHEMATICAL PHYSICS |
| Volume | 106 |
| Pagination | 1817-1835 |
| Date Published | DEC |
| Type of Article | Article |
| ISSN | 0377-9017 |
| Mots-clés | double well, eigenvalues, PT-symmetry, Schrodinger operator |
| Résumé | We study small, -symmetric perturbations of self-adjoint double-well Schrodinger operators in dimension . We prove that the eigenvalues stay real for a very small perturbation, then bifurcate to the complex plane as the perturbation gets stronger. |
| DOI | 10.1007/s11005-016-0852-8 |