Riccardo Giachetti, Vincenzo Grecchi
We make a nodal analysis of the processes of level crossings in a model of quantum mechanics with a PT-symmetric double well. We prove the existence of infinite crossings with their selection rules. At the crossing, before the PT-symmetry breaking and the localization, we have a total P-symmetry breaking of the states.
http://arxiv.org/abs/1410.8460
Mathematical Physics (math-ph)