We study scattering properties of a PT-symmetric square well potential with real depth larger than the threshold of particle-antiparticle pair production as the time component of a vector potential in the Dirac equation. Spontaneous pair production inside the well becomes tiny beyond the strength at which discrete bound states with real energies disappear, consistently with a spontaneous breakdown of PT symmetry. © 2007 Elsevier B.V. All rights reserved.
|Pages (from-to)||941 - 946|
|Number of pages||6|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - 11 Feb 2008|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cannata, F., & Ventura, A. (2008). Overcritical PT-symmetric square well potential in the Dirac equation. Physics Letters, Section A: General, Atomic and Solid State Physics, 372(7), 941 - 946. https://doi.org/10.1016/j.physleta.2007.08.056