Geodesic
Continuous Measurements in Probability Representation of Quantum Mechanics
Informatics and Automation, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 208-218

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The continuous quantum measurement within the probability representation of quantum mechanics is discussed. The partial classical propagator of the symplectic tomogram associated to a particular measurement outcome is introduced, for which the representation of a continuous measurement through the restricted path integral is applied. The classical propagator for the system undergoing a non-selective measurement is derived by summing these partial propagators over the entire outcome set. The elaborated approach is illustrated by considering the non-selective position measurement of a quantum oscillator and a quantum particle. 
@article{TRSPY_2021_313_a17,
     author = {Ya. V. Przhiyalkovskiy},
     title = {Continuous {Measurements} in {Probability} {Representation} of {Quantum} {Mechanics}},
     journal = {Informatics and Automation},
     pages = {208--218},
     publisher = {mathdoc},
     volume = {313},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_313_a17/}
}
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Ya. V. Przhiyalkovskiy. Continuous Measurements in Probability Representation of Quantum Mechanics. Informatics and Automation, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 208-218. http://geodesic.mathdoc.fr/item/TRSPY_2021_313_a17/