The (2+1) Dirac Equations with $\delta$ Potential

Abstract

In this Letter the bound states of (2+1) Dirac equation with the cylindrically symmetric $\delta (r-r_0)$-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