Overcritical PT-symmetric square well potential in the Dirac equation

Francesco Cannata, Alberto Ventura

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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.
Original languageEnglish
Pages (from-to)941 - 946
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number7
Publication statusPublished - 11 Feb 2008
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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