Relativistic Theory of Continuous Measurements

  • Heinz-Peter Breuer
  • Francesco Petruccione
Part of the Lecture Notes in Physics book series (LNP, volume 574)


It is shown that the stochastic wave function representation of continuous, selective measurements of open quantum systems can be given a relativistically covariant form. As an example, a piecewise deterministic process for the state vector of the source of an optical cavity is constructed which is covariant under Lorentz transformations and which describes the stochastic dynamics induced by a continuous monitoring of the radiated photons through a moving detector. The most general case of a quantum dynamical semigroup generated by an arbitrary number of Lindblad operators is also treated. The resulting equation of motion clearly demonstrates that the stochastic formulation of open quantum systems can be generalized to meet the basic postulates of both quantum measurement theory and special relativity.


Density Matrix Transport Equation Dirac Equation Rest Frame Lorentz Transformation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Heinz-Peter Breuer
    • 1
  • Francesco Petruccione
    • 1
    • 2
  1. 1.Fakultät für PhysikAlbert-Ludwigs-Universität FreiburgFreiburg i. Br.Germany
  2. 2.Istituto Italiano per gli Studi FilosoficiPalazzo Serra di CassanoNapoliItaly

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