Bound-states of the ( 1 + 1 ) -dimensional DKP equation with a pseudoscalar linear plus Coulomb-like potential

We solve the DKP equation with a pseudoscalar linear plus Coulomb-like potential in a two-dimensional space–time. The problem is mapped into an effective quadratic plus inversely quadratic potential in a Sturm–Liouville type equation. The exact energy spectrum and the corresponding normalized eigens...

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Bibliographic Details
Published in:Physics letters. A 2010-06, Vol.374 (29), p.2907-2913
Main Authors: Chargui, Y., Trabelsi, A., Chetouani, L.
Format: Article
Language:English
Subjects:
DKP equation
Energy spectrum
Mathematical analysis
Oscillators
Pseudoscalar potential
Solid state physics
Two dimensional
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Summary:We solve the DKP equation with a pseudoscalar linear plus Coulomb-like potential in a two-dimensional space–time. The problem is mapped into an effective quadratic plus inversely quadratic potential in a Sturm–Liouville type equation. The exact energy spectrum and the corresponding normalized eigenstates are obtained. The particular case of the DKP oscillator is also discussed.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2010.05.025