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.

Appeared in

  • Monatsh. Math., 158 (2009) pp. 179--185.

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