Research Communication | Open Access
Volume 2021 | Communication ID 26
Volume 2021 | Communication ID 26
| Non-real eigenvalues for PT symmetric double well |
Amina Benbernou, Naima Boussekkine, Nawel Mecherout, Thierry Ramond, Johannes Sjostrand
Received |
Accepted |
Published |
January 15, 2021 |
January 31, 2021 |
March 15, 2021 |
Abstract: We study small, PT -symmetric perturbations of self-adjoint double-well Schrödinger operators in dimension n ≥ 1. We prove that the eigenvalues stay real for a very small perturbation, then bifurcate to the complex plane as the perturbation gets stronger. Our new result is more general, but requires a stronger condition on the size of the perturbation parameter.