Hartree-Fock解多重性的研究

Study of Multiplicity of Hartree-Fock Solutions

本文利用推广的三能级可解模型对Hartree-Fock(HF)单粒位的自洽求解做了详细考察,指出求解过程中出现的多解性应当引起注意。此外,本文还讨论了HF解在力参数的某些区域发生突变的原因、它的稳定性以及它和两体相互作用强度的关系。

By means of a generalized three-level solvable model, the self-consistent procedure for solving the Hartree-Fock (HF) equation is studied in some detail. It is pointed out that due attention must be paid for the multiplicity of solutions. Different criteria for the choice of an adequate solution are considered and discussed. Further, the reason of the sudden jump of the HF solution in certain force-parameter (FP) region, the stability of the HF solution and its dependence on FPs are investigated.