The (2+1) Dirac Equations with $δ$ Potential
Abstract
Description
In this Letter the bound states of (2+1) Dirac equation with the cylindrically symmetric $δ(r-r_{0})$-potential are discussed. It is surprisingly found that the relation between the radial functions at two sides of $r_{0}$ can be established by an SO(2) transformation. We obtain a transcendental equation for calculating the energy of the bound state from the matching condition in the configuration space. The condition for existence of bound states is determined by the Sturm-Liouville theorem.
Latex 11 pages accepted by Found. Phys. Lett
Latex 11 pages accepted by Found. Phys. Lett