Dirac Electron in the Electric Dipole Field
V.I.Matveev, M.M.Musakhanov, D.U.Matrasulov
TL;DR
This paper analytically solves the Dirac equation for an electron in a finite dipole potential, deriving formulas for energy states and exploring cases where the atomic number is below or above 137.
Contribution
It provides an analytical solution to the Dirac equation in a dipole potential and derives energy formulas for relativistic electrons in such fields.
Findings
Analytical formulas for near continuum energy states
Solutions for cases Z<137 and Z>137
Insights into relativistic electron behavior in dipole fields
Abstract
Dirac equation for the finite dipole potential is solved by the method of the join of the asymptotics. The formulas for the near continuum state energy term of a relativistic electron-dipole system are obtained analytically. Two cases are considered: and
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Taxonomy
TopicsParticle accelerators and beam dynamics · Vacuum and Plasma Arcs · Pulsed Power Technology Applications