Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
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DOI：
10.1103/physrevc.87.014334
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发表时间：
2012-07
影响因子：
3.1
通讯作者：
H. Liang;Shihang Shen;P. Zhao;J. Meng
中科院分区：
文献类型：
--
作者：
H. Liang;Shihang Shen;P. Zhao;J. Meng
结合超对称性（SUSY）量子力学、微扰理论和相似重正化群（SRG）方法，探讨了赝自旋对称性（PSS）的起源及其破缺机制。以薛定谔方程为例，对应于利用SRG将狄拉克方程转化为对角形式的最低阶近似。结果表明，虽然自旋对称守恒项出现在单粒子哈密顿量 H 中，但 PSS 守恒项自然出现在其 SUSY 伙伴哈密顿量 ∼ H 中。哈密顿量 H 和 ∼ 的本征态
The origin of pseudospin symmetry (PSS) and its breaking mechanism are explored by combining supersymmetry (SUSY) quantum mechanics, perturbation theory, and the similarity renormaliza- tion group (SRG) method. The Schrodinger equation is taken as an example, corresponding to the lowest-order approximation in transforming a Dirac equation into a diagonal form by using the SRG. It is shown that while the spin-symmetry-conserving term appears in the single-particle Hamiltonian H, the PSS-conserving term appears naturally in its SUSY partner Hamiltonian ˜ H. The eigenstates of Hamiltonians H and ˜