能级交叉与径向Dirac方程：超对称性与准宇称谱特征
Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
摘要：
研究四维矢量电磁场中具有位置依赖质量的（3+1）维Dirac方程.使用两个过于简化的例子（狄拉克-库仑和狄拉克-振子场），我们报告的能级交叉作为一个频谱特性或作为隐藏的超对称量子力学语言和/或准宇称签名的影响。在相关相互作用耦合到Dirac方程的方式不同的情况下，观察到两个最终的/有效的子系统：Dirac-库仑和Dirac-振子在能级交叉上表现出不同的条件。
英文摘要：
The (3+1)-dimensional Dirac equation with position dependent mass in 4-vector electromagnetic fields is considered. Using two over-simplified examples (the Dirac-Coulomb and Dirac-oscillator fields), we report energy-levels crossing as a spectral property or as an effect of the hidden supersymmetric quantum mechanical language and/or quasi-parity signatures. Under different settings of the related interactions' way-of-coupling into Dirac equation, it is observed that the two ultimate/effective descendents, Dirac-Coulomb and Dirac-oscillator, exhibit different conditions on the energy-levels crossings.
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