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The Dirac equation for a harmonic-oscillator potential plus a Lorentz scalar delta-shaped term has been solved. This singular potential changes the usual oscillator energy levels. Unlike the nonrelativistic treatment, the particle cannot fall into the centre for any negative value of the delta-function strength. The apparent occurrence of double degenerate energy levels for some limiting cases is found.
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Domínguez‐Adame et al. (1989) studied this question.
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