WIAS Preprint No. 1275, (2007)
Monotonicity properties of the quantum mechanical particle density
- Kaiser, Hans-Christoph
- Neidhardt, Hagen
- Rehberg, Joachim
2010 Mathematics Subject Classification
- 47H05 47B10
- Trace functionals, trace class operators, monotonicity
An elementary proof of the anti-monotonicity of the quantum mechanical particle density with respect to the potential in the Hamiltonian is given for a large class of admissible thermodynamic equilibrium distribution functions. In particular the zero temperature case is included.
- Monatsh. Math., 158 (2009) pp. 179--185.