Overcritical -symmetric square well potential in the Dirac equation
نویسندگان
چکیده
منابع مشابه
Overcritical PT -symmetric square well potential in the Dirac equation
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 break...
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Below a (comparatively large) measure of non-Hermiticity Z = Z (crit) 0 > 0 of a PT symmetrically complexified square well, bound states are constructed non-numerically. All their energies prove real and continuous in the (Hermitian) limit Z → 0. Beyond the threshold Z (crit) 0 (and, in general, beyond Z (crit) m at m = 0, 1, . . .) the lowest two real energies (i.e., E2m and E2m+1) are shown t...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2008
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2007.08.056