Spectra of Lorentz-violating Dirac bound states in a cylindrical well
Spectra of Lorentz-violating Dirac bound states in a cylindrical well
复制标题
圆柱井中洛伦兹破坏狄拉克束缚态的光谱
DOI：
10.1103/physrevd.94.115020
复制
发表时间：
2016-12
影响因子：
5
通讯作者：
Zhi Xiao
中科院分区：
文献类型：
--
作者：
Zhi Xiao
当存在Lorentz破坏Bμ系数时，圆柱势阱中Dirac粒子的束缚态谱发生了变化.与洛伦兹不变（LI）谱相比，当本征能量E足够接近临界值m时，洛伦兹破坏偏差变得显著，其中m是粒子的质量。偏差的详细分布取决于观测者Bμ的洛伦兹性质。我们讨论了三种类型的Bμ组态。当Bμ l ≤ 0; 0的整数; 0的整数; bZ轴平行于阱轴，则简并的LI谱分裂成两个子谱，使人想起弱磁场存在下的塞曼分裂。根据色散关系中伴随质量m的bZ的相对符号，光谱在允许的本征能区域内延伸或收缩。当Bμ是径向向量[Bμ π ι 0; B cos π ι; B sin π ι; 0 π ι]或纯类时向量[Bμ π ι π ι bT;~0 π ι]时，上自旋分量和下自旋分量耦合在一起，并且不存在分裂。然而，当E足够接近−m时，阱深V0随本征能E减小而单调增加的行为略有改变。
In the presence of the Lorentz-violating bμ coefficient, the spectra of bound states for a Dirac particle in a cylindric well are changed. Compared to the Lorentz invariant (LI) spectrum, the Lorentz violation deviation becomes significant when eigenenergy E is sufficiently close to the critical values m, where m is the particle’s mass. The detailed profile of the deviation depends on the observer Lorentz nature of bμ. We discussed three types of bμ configuration. When bμ ¼ ð0; 0; 0; bZÞ is parallel to the well axis, the would be degenerate LI spectra split into two subspectra, reminiscent of the Zeeman splitting in the presence of a weak magnetic field. Depending on the relative sign of bZ accompanying mass m in the dispersion relation, the spectrum extends or shrinks in the allowed eigenenergy region. When bμ is a radial [bμ ¼ ð0; b cos ϕ; b sin ϕ; 0Þ] or purely timelike vector [bμ ¼ ðbT;~0 Þ], the spin-up and down components are coupled together, and there is no splitting. However, the monotonic increasing behavior of well depth V0 with the decrease of eigenenergy E is slightly changed when E is sufficiently close to −m.