The ground state of a strongly interacting fermion system

Abstract

44 ~0 57 ~7 60 62 63 64 65 66 0. Introduct ion. 1. Cor re l a t ed Jas t row-type t r i a l wave functions. 2. Monte Carlo calculation of the energy expectat ion value. 3. Observed propert ies of l iquid 3He and some results of Monte Carlo c a l culations. 4. The Jaekson-Feenberg expression of the kinet ic energy. 5. Diagrammat ic expansion of the norm of the Jas t row wave function (local correlat ion factors). 6. Diagrammat ic expansion of the single-particle density. 7. Pointirreducible graphs: el iminat ion of ar t iculat ion points. 8. Expansion of the norm in the presence of spin-dependent correlation factors, 9. Rules for Jas t row diagrams with spin correlation bars but involving at most second-order loops. 10. Diagrammat ic expansion of the energy. 11. The Euler equations. 12. The chain equations in the absence of spin correlations. 13. A simple example of chain equations. 14. An example of chain equations in the presence of spin correlations. 14"1. Chain equations in the spin-0 channel. 14"2. Chain equations in the spin-1 channel. 15. Spin correlations in l iquid aHe. 15"1. Renormalizat ion of the (dashed) central correlation line. 15"2. Renormalizat ion of the spin correlation bar. 15"3. Renormalizat ion of the (central) s ta t ic L i n d h a r d f u n c t i o n S~c. 15"4. Renormalizat ion o f the s ta t ic L indhard function SF in the spin-i" channel. 66 15"5. Calculation of S ' and the Euler equation. 69 16, Sound and spin waves in the collective co-ordinate approximation.