Harmonic oscillator and nuclear pseudospin
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Data
2004-12-02
Autores
Lisboa, Ronai
Malheiro, Manuel
De Castro, Antonio S. [UNESP]
Alberto, Pedro
Fiolhais, Manuel
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A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U, linear in r. Setting either Σ = S + V or Δ = V - S to zero, analytical solutions for bound states are found. The eingenenergies and their nonrelativistic limits are presented and particular cases are discussed, especially the case Σ = 0, for which pseudospin symmetry is exact.
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AIP Conference Proceedings, v. 739, p. 569-571.