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- Bound states by a pseudoscalar Coulomb potential in one-plus-one dimensions
- de Castro, A. S.
- Universidade Estadual Paulista (UNESP)
- 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. (C) 2003 Elsevier B.V. All rights reserved.
- Physics Letters A. Amsterdam: Elsevier B.V., v. 318, n. 1-2, p. 40-47, 2003.
- Elsevier B.V.
- dirac equation
- pseudoscalar potential
- Acesso restrito
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