关于多电子库仑体系Hohenberg-Kohn定理反证法的原始证明
On the Original Proof by Reductio ad Absurdum of the Hohenberg-Kohn Theorem for Many-Electron Coulomb Systems
摘要：
研究表明，对于具有库仑外势的孤立多电子库仑系统，由于单电子密度假设和外势假设与Kato尖点条件不相容，Hohenberg-Kohn定理的反证法不能令人满意.该定理是，然而，证明了更复杂的手段，它在这里表明，加藤尖条件实际上导致一个令人满意的证明。
英文摘要：
It is shown that, for isolated many-electron Coulomb systems with Coulombic external potentials, the usual reductio ad absurdum proof of the Hohenberg-Kohn theorem is unsatisfactory since the to-be-refuted assumption made about the one-electron densities and the assumption about the external potentials are not compatible with the Kato cusp condition. The theorem is, however, provable by more sophisticated means and it is shown here that the Kato cusp condition actually leads to a satisfactory proof.
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