狄拉克电子在两个相反电荷核场中的超临界不稳定性
Supercritical instability of Dirac electrons in the field of two oppositely charged nuclei
摘要:
用原子轨道线性组合方法研究了有限偶极势中电子的狄拉克方程。考虑到有限的核尺寸,对构成偶极子的核的库仑势进行了正则化。结果表明,当原子的偶极动量达到某一临界值时,最高占据电子束缚态的波函数将从带负电的原子核局部化到带正电的原子核局部化,从而出现了一种新的超临界现象.这种现象可以解释为真空中电子-正电子对的自发产生,每个产生的粒子与相应的原子核处于束缚态,并部分屏蔽它。
英文摘要:
The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the finite nuclear size. It is shown that if the dipole momentum reaches a certain critical value, the novel type of supercriticality occurs; namely, the wave function of the highest occupied electron bound state changes its localization from the negatively charged nucleus to the positively charged one. This phenomenon can be interpreted as a spontaneous creation of an electron-positron pair in vacuum, with each of the created particles being in the bound state with the corresponding nucleus and partially screening it.
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