Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-23
Mod.Phys.Lett. A16 (2001) 2273-2280
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, to appear in Mod. Phys. Lett. A
Scientific paper
10.1142/S0217732301005722
In many PT symmetric models with real spectra, apparently, energy levels "merge and disappear" at a point of the spontaneous PT-symmetry breaking. We argue that such an oversimplified and discontinuous physical interpretation of this mechanism as proposed, e.g., by one of us in Phys. Lett. A 285 (2001), p. 7 would be inappropriate. Using the elementary square-well model of the above reference in the strongly non-Hermitian regime we exemplify how the doublets of states with broken PT symmetry continue to exist at complex conjugate energies. In contrast to many other exactly solvable examples of such a mechanism (we listed some of them in quant-ph/0110064), our present model of symmetry breaking does not complexify all the spectrum at once. "Realistically", it rather proceeds step by step, starting from the low-lying part of the spectrum and involving more and more excited states with an increasing degree of non-Hermiticity of the underlying interaction.
Le'vai Ge'za
Znojil Miloslav
No associations
LandOfFree
Spontaneous breakdown of PT symmetry in the solvable square-well model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spontaneous breakdown of PT symmetry in the solvable square-well model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spontaneous breakdown of PT symmetry in the solvable square-well model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-458728