  The Kondo volume collapse describes valence transitions in f-electron metals,
and is characterized by a line of first order transitions in the
pressure-temperature phase plane terminated at critical end points. We analyze
the quantum critical end point, when the lower end point is tuned to T=0, and
determine the specific heat, thermal expansion, and compressibility. We find
that the inclusion of quantum critical fluctuations leads to a novel
bifurcation of the first order phase line. Finally, we show that critical
strain fluctuations can cause both, superconductivity and non-Fermi liquid
behavior near the critical point.
