Analyticity for some operator functions from statistical quantum mechanics
Please always quote using this URN:urn:nbn:de:0296-matheon-5636
- 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.
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| Author: | Kurt Hoke, Hans-Christoph Kaiser, Joachim Rehberg |
|---|---|
| URN: | urn:nbn:de:0296-matheon-5636 |
| Referee: | Alexander Mielke |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2009/02/19 |
| Release Date: | 2009/02/19 |
| Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
| Preprint Number: | 556 |
