
On solutions of the Dirac equation in a strong disappearing at infinity electrostatic field
Author(s) -
K. S. Krylov,
V. D. Mur
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1238/1/012042
Subject(s) - dirac equation , physics , positron , dirac (video compression format) , infinity , scattering , field (mathematics) , quantum electrodynamics , supercritical fluid , electron , mathematical physics , quantum mechanics , classical mechanics , mathematical analysis , mathematics , pure mathematics , neutrino , thermodynamics
It is shown that the one-particle radial Dirac equation with a spherically symmetric narrow rectangular well remains valid also in the supercritical region. Positron resonances in scattering arising at low supercriticality are in no way related to the process of spontaneous production of electron-positron pairs from vacuum.