Lisboa, R.Malheiro, M.de Castro, A. S.Alberto, P.Fiolhais, M.2014-05-202014-05-202004-08-01International Journal of Modern Physics D. Singapore: World Scientific Publ Co Pte Ltd, v. 13, n. 7, p. 1447-1451, 2004.0218-2718http://hdl.handle.net/11449/39568We show that relativistic mean fields theories with scalar S, and vector V, quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry and positive energy bound states when S = -V. The eigenenergies are quite different from those of the non-relativistic harmonic oscillator. We also discuss a mechanism for perturbatively breaking this, symmetry by introducing a tensor potential. Our results shed light into the intrinsic relativistic nature of the pseudospin symmetry, which might be important in high density systems such as neutron stars.1447-1451engpseudospin symmetryharmonic oscillatortensor potentialArtigo10.1142/S0218271804005675WOS:000224485500042Acesso restrito