The appearance of particle tracks in detectors -- II: the semi-classical realm

• URL: http://arxiv.org/abs/2202.09558v1
• Date: Sat, 19 Feb 2022 09:23:23 GMT
• Title: The appearance of particle tracks in detectors -- II: the semi-classical realm
• Authors: Tristan Benoist, Martin Fraas, J\"urg Fr\"ohlich
• Abstract summary: We show how symmetries, such as spherical symmetry, of the initial state of a particle are broken by tracks consisting of infinitely many approximately measured particle positions. In the semi-classical regime, which is reached when one considers highly energetic particles, we present a detailed, mathematically rigorous analysis of this phenomenon.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is studied for a family of idealized models. In the semi-classical regime, which is reached when one considers highly energetic particles, we present a detailed, mathematically rigorous analysis of this phenomenon. If the Hamiltonian of the particles is quadratic in position- and momentum operators, as in the examples of a freely moving particle or a particle in a homogeneous external magnetic field, we show how symmetries, such as spherical symmetry, of the initial state of a particle are broken by tracks consisting of infinitely many approximately measured particle positions and how, in the classical limit, the initial position and velocity of a classical particle trajectory can be reconstructed from the observed particle track.

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