U(3) and pseudo-U(3) symmetry of the relativistic harmonic oscillator.
U(3) and pseudo-U(3) symmetry of the relativistic harmonic oscillator.
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DOI：
10.1103/physrevlett.95.252501
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发表时间：
2005-12
影响因子：
8.6
通讯作者：
J. Ginocchio
中科院分区：
文献类型：
--
作者：
J. Ginocchio
我们证明了标量和矢量谐振子势相等的狄拉克哈密顿量不仅具有自旋对称性而且具有U(3)对称性，标量和矢量谐振子势大小相等但符号相反的狄拉克哈密顿量不仅具有伪自旋对称性而且具有伪U(3)对称性。我们推导了每种情况下对称的产生器。
We show that a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials has not only a spin symmetry but a U(3) symmetry and that a Dirac Hamiltonian with scalar and vector harmonic oscillator potentials equal in magnitude but opposite in sign has not only a pseudospin symmetry but a pseudo-U(3) symmetry. We derive the generators of the symmetry for each case.