Continuous measurements in probability representation of quantum mechanics

• URL: http://arxiv.org/abs/2101.07568v2
• Date: Mon, 5 Jul 2021 09:44:59 GMT
• Title: Continuous measurements in probability representation of quantum mechanics
• Authors: Yan Przhiyalkovskiy
• Abstract summary: The continuous quantum measurement within the probability representation of quantum mechanics is discussed. The classical propagator of the symplectic tomogram associated to a particular measurement outcome is introduced.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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