一般维相对论性氢原子的精确超对称性--超荷与广义Johnson-Lippmann算符
Exact supersymmetry in the relativistic hydrogen atom in general dimensions -- supercharge and the generalized Johnson-Lippmann operator
摘要：
在1/r势中运动的一般维狄拉克粒子具有精确的N = 2超对称性，其中两个超荷算符是根据（D维推广）约翰逊-李普曼算符获得的，这是龙格-伦茨-泡利矢量的扩展，相对论地包含自旋自由度。因此，决定能级简并的量子开普勒问题中的额外对称性（S（2））是如此稳健，以至于可以适应任意维度的相对论情况。
英文摘要：
A Dirac particle in general dimensions moving in a 1/r potential is shown to have an exact N = 2 supersymmetry, for which the two supercharge operators are obtained in terms of (a D-dimensional generalization of) the Johnson-Lippmann operator, an extension of the Runge-Lenz-Pauli vector that relativistically incorporates spin degrees of freedom. So the extra symmetry (S(2))in the quantum Kepler problem, which determines the degeneracy of the levels, is so robust as to accommodate the relativistic case in arbitrary dimensions.
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