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Analyticity for some operator functions from statistical quantum mechanics : dedicated to Günter Albinus
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.