Overcritical PT -symmetric square well potential in the Dirac equation
نویسنده
چکیده
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.
منابع مشابه
Non-local PT -symmetric potentials in the one-dimensional Dirac equation
The Dirac equation in (1+1) dimensions with a non-local PT symmetric potential of separable type is studied by means of the Green function method: properties of bound and scattering states are derived in full detail and numerical results are shown for a potential kernel of Yamaguchi type, inspired by the treatment of low-energy nucleonnucleon interaction. PACS:03.65.CGe, 03.65.Nk, 03.65.Pm, 11....
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