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The wavefunction when antiparallel spin electrons coincide and its relation to the ground-state electron density in the Hookean atom

机译:反平行自旋电子重合时的波函数及其与Hookean原子中基态电子密度的关系

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摘要

For a specific force constant, the spatial form of the ground-state wavefunction Psi(r(1),r(2)) is known analytically for the Hookean atom in which two electrons repel coulombically. Hen, it is first shown that the wavefunction Psi(r,r) for the antiparallel spin electrons at the same position r is sufficient to construct the ground-state density in this model example. An off-diagonal generalization is then effected, which relates the one-particle density matrix to the electron pair correlation function, again for this same model. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 8]
机译:对于一个特定的力常数,对于两个电子库仑排斥的Hookean原子,解析地知道基态波函数Psi(r(1),r(2))的空间形式。亨,首先表明,在此模型示例中,相同位置r处反平行自旋电子的波函数Psi(r,r)足以构成基态密度。然后进行非对角线一般化,将相同粒子模型的单粒子密度矩阵与电子对相关函数相关联。 (C)2000 Elsevier Science B.V.保留所有权利。 [参考:8]

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