On the Existence of Solutions of Time-Dependent Hartree-Fock Equations
On the Existence of Solutions of Time-Dependent Hartree-Fock Equations
复制标题
时变Hartree-Fock方程解的存在性
DOI：
10.2977/prims/1195182978
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发表时间：
1983
影响因子：
1.2
通讯作者：
H. Isozaki
中科院分区：
文献类型：
--
作者：
H. Isozaki
其中Xj=(x), Xj, Xj)ei2, Aj= ^ (d / 3 xj) 2和Q(x\ V(x)是实函数使得V(x) = V（-x）。如果系统服从费米统计量，则在L(R)的反对称子空间中处理（1.1）是很自然的。Dirac（[3],[4]）注意到这种不对称，利用变分原理，推导出如下的Hartree-Fock方程的时变版本，从而得到式（1.1）的近似解：
where Xj=(x], xj, xj)ei2, Aj= ^ ( d / 3 x j ) 2 and Q(x\ V(x) are real functions such that V(x) = V(—x). If the system obeys the Fermi statistics, it is natural to treat (1.1) in the anti-symmetric subspace of L(R). Taking note of this anti-symmetry and using the variational principle, Dirac ([3], [4]) has derived the following time-dependent version of Hartree-Fock equation in order to obtain an approximate solution of (1.1) :