STIS Spectroscopy of PKS 0405-123

We present results for QSO PKS 0405-123 (z=0.574, V=14.9), as part of a STIS Investigation Definition Team (IDT) key project to study weak Ly-alpha forest systems at low z. We detect 59 (47) Ly-alpha absorbers at 4.0 sigma significance to an 80% completeness limit of column density log N(HI)=13.3 (13.1) for Doppler parameter V_Dop=40 km/s over 0.002 =14.0, but exhibits twice as many systems at 13.1 =48 +- 21 km/s; line blending possibly inflates the value. We find evidence for Ly-alpha-Ly-alpha clustering in our sample on a scale of Delta v =13.1 and 45 galaxies taken from the literature and unpublished data at 0<z<0.47; the transverse distances cover up to 1.5 /h_70 Mpc in the local frame. The Ly-alpha-galaxy clustering is stronger for higher log(N(HI) systems.