Spectra of Lorentz-violating Dirac bound states in a cylindrical well
Spectra of Lorentz-violating Dirac bound states in a cylindrical well
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DOI：
10.1103/physrevd.94.115020
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发表时间：
2016
影响因子：
5
通讯作者：
Zhi Xiao
中科院分区：
文献类型：
--
作者：
Zhi Xiao
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.
