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arXiv · hep-th/0303175

Bound states by a pseudoscalar Coulomb potential in 1+1 dimensions

Antonio S. de Castro
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Abstract

The Dirac equation is solved for a pseudoscalar Coulomb potential in a two-dimensional world. An infinite sequence of bounded solutions are obtained. These results are in sharp contrast with those ones obtained in 3+1 dimensions where no bound-state solutions are found. Next the general two-dimensional problem for pseudoscalar power-law potentials is addressed consenting us to conclude that a nonsingular potential leads to bounded solutions. The behaviour of the upper and lower components of the Dirac spinor for a confining linear potential nonconserving- as well as conserving-parity, even if the potential is unbounded from below, is discussed in some detail.

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Antonio S. de Castro. 2003-09-20. Bound states by a pseudoscalar Coulomb potential in 1+1 dimensions. https://doi.org/10.1016/j.physleta.2003.09.029

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