Full counting statistics of a general quantum mechanical variable

  title={Full counting statistics of a general quantum mechanical variable},
  author={Yuli V. Nazarov and M. Kindermann},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  • Y. NazarovM. Kindermann
  • Published 6 July 2001
  • Physics
  • The European Physical Journal B - Condensed Matter and Complex Systems
Abstract.We present a quantum mechanical framework for defining the statistics of measurements of $\int dt \hat{A}(t)$, A(t) being a quantum mechanical variable. This is a generalization of the so-called full counting statistics proposed earlier for DC electric currents. We develop an influence functional formalism that allows us to study the quantum system along with the measuring device while fully accounting for the back action of the detector on the system to be measured. We define the full… 

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