diff --git a/Manuscript/EPAWTFT.tex b/Manuscript/EPAWTFT.tex index 335fa96..bee40fe 100644 --- a/Manuscript/EPAWTFT.tex +++ b/Manuscript/EPAWTFT.tex @@ -950,7 +950,8 @@ sacrificed convergence of the excited-state series so that the chance of ground- Since the UHF ground state already provides a good approximation to the exact energy, the ground-state sheet of the UMP energy is relatively flat and the corresponding EP in the Hubbard dimer always lies outside the unit cylinder. -\hugh{The slow convergence observed in \ce{H2} can then be seen as this EP moves ever closer to one at larger $U/t$ values.} +\hugh{The slow convergence observed in \ce{H2}\cite{Gill_1988} can then be seen as this EP +moves closer to one at larger $U/t$ values.} Furthermore, the majority of the UMP expansion in this regime is concerned with removing spin-contamination from the wave function \hugh{rather than improving the energy. It is well-known that the spin-projection needed to remove spin-contamination can require non-linear combinations diff --git a/Manuscript/fig3b.pdf b/Manuscript/fig3b.pdf index 1ca8762..f650d6c 100644 Binary files a/Manuscript/fig3b.pdf and b/Manuscript/fig3b.pdf differ