Geodesic
Evolution of a~quantum system subject to continuous measurement
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 41-52

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The path integration method is used to describe the evolution of a quantum system subject to continuous (in time) measurement. It is shown that nonselective continuous measurement leads to a continuous increase in the degree of mixing of states. A scheme is developed for calculating a family of “partial” evolution operators that describe the dynamics of the system with allowance for the back reaction of the instrument, and a generalized unitarity condition for them is formulated. The general results are then applied to the case of spectral measurements of a harmonic oscillator. The nature of the mixing which arises as a result of such measurements is analyzed. 
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     author = {M. B. Menskii},
     title = {Evolution of a~quantum system subject to continuous measurement},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {41--52},
     publisher = {mathdoc},
     volume = {75},
     number = {1},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a3/}
}
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M. B. Menskii. Evolution of a~quantum system subject to continuous measurement. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 41-52. http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a3/