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The (2+1) Dirac Equations with $δ$ Potential

Shi-Hai Dong·Zhong-Qi Ma
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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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Shi-Hai Dong, Zhong-Qi Ma. 2001-10-27. The (2+1) Dirac Equations with $δ$ Potential. https://arxiv.org/abs/quant-ph/0110158

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