Abstract
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.
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Dong, SH., Ma, ZQ. The (2+1) Dirac Equation with a Delta Potential. Found Phys Lett 15, 171–178 (2002). https://doi.org/10.1023/A:1020952124932
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DOI: https://doi.org/10.1023/A:1020952124932