Analyticity for Some Operator Functions from Statistical Quantum Mechanics |
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Authors: | Kurt Hoke Hans-Christoph Kaiser Joachim Rehberg |
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Institution: | (1) Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany |
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Abstract: | For rather general thermodynamic equilibrium distribution functions the density of a statistical ensemble of quantum mechanical
particles depends analytically on the potential in the Schr?dinger 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 boundedly maps the space of square integrable functions
to the space of essentially bounded functions.
Dedicated to Günter Albinus
Submitted: November 21, 2008. Accepted: March 31, 2009. |
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Keywords: | |
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