(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Hoke, Kurt; Kaiser, Hans-Christoph; Rehberg, Joachim; Albinus, Günter
For rather general thermodynamic equilibrium distribution functions the
density of a statistical ensemble of quantum mechanical particles depends
analytically on the potential in the Schrödinger operator describing the
quantum system. A key to the proof is that the resolvent to a power less than
one of an elliptic operator with non-smooth coefficients, and mixed
Dirichlet/Neumann boundary conditions on a bounded up to three-dimensional
Lipschitz domain factorizes over the space of essentially bounded functions.
