Continuous measurements in probability representation of quantum mechanics
Quantum Physics
2021-08-03 v2
Abstract
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 non-selective position measurement of a quantum oscillator and a particle.
Keywords
Cite
@article{arxiv.2101.07568,
title = {Continuous measurements in probability representation of quantum mechanics},
author = {Yan Przhiyalkovskiy},
journal= {arXiv preprint arXiv:2101.07568},
year = {2021}
}