Non-real Eigenvalues for PT-Symmetric Double Wells
Spectral Theory
2016-06-22 v1 Mathematical Physics
math.MP
Abstract
We study small, PT-symmetric perturbations of self-adjoint double-well Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1506.01898,
title = {Non-real Eigenvalues for PT-Symmetric Double Wells},
author = {Amina Benbernou and Naima Boussekkine and Nawal Mecherout and Thierry Ramond and Johannes Sjoestrand},
journal= {arXiv preprint arXiv:1506.01898},
year = {2016}
}