In this chapter we complete the task of showing that the SDE approach can be reduced to the usual formulation of quantum mechanics. The last notion which we need is the one of “instrument”; its definition, meaning and properties are presented in Sect. B.4. We give also the important concept of characteristic operator , a kind of Fourier transform of the instruments, we show that it satisfies an evolution equation, in some sense similar to a master equation , and we show how to obtain explicit formulae for the moments of the output by means of this characteristic operator .
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Barchielli, A., Gregoratti, M. (2009). Continuous Measurements and Instruments. In: Quantum Trajectories and Measurements in Continuous Time. Lecture Notes in Physics, vol 782. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01298-3_4
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