Relativistic harmonic oscillator with spin symmetry
By J. Ginocchio. 2004
143 citations recorded by the source corpus.
The eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials are derived. Equal scalar and vector potentials may be applicable to the spectrum of an antinucleon embedded in a nucleus. Triaxial, axially deformed, and spherical oscillator potentials are considered. The spectrum has a spin symmetry for all cases and, for the spherical harmonic oscillator potential, a higher symmetry analogous to the SU(3) symmetry of the nonrelativistic harmonic oscillator is discussed.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2b06d4c84b4795761cd8d602b2b19fc9180ca3c9
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
Citations in the corpus
- Hidden pseudospin and spin symmetries and their origins in atomic nuclei (2014, background): “d and discussed in nuclear physics. For the study of the PSS and/or the SS, the RHO potentials are of the most relevance. Several examples have been illustrated in Sections 2.2, 3.2, and 3.4. In Ref. [148], the eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal scalar and vector HO ”