Particle Tracks, Events and Quantum Theory

Details Particle Tracks, Events and Quantum Theory Particle Tracks, Events and Quantum Theory

1994-07-24

arxiv.org/abs/hep-th/9407157v3

Prog.Theor.Phys.93:631-646,1995

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1143/PTP.93.631

The law of track formation in cloud chambers is derived from the Liouville equation with a simple Lindblad's type generator that describes coupling between a quantum particle and a classical, continuous, medium of two--state detectors. Piecewise deterministic random process (PDP) corresponding to the Liouville equation is derived. The process consists of pairs (classical event,quantum jump), interspersed with random periods of continuous (in general, non--linear) Schroedinger's--type evolution. The classical events are flips of the detectors -- they account for tracks. Quantum jumps are shown, in the simplest, homogeneous case, to be identical to those in the early spontaneous localization model of Ghirardi, Rimini and Weber (GRW). The methods and results of the present paper allow for an elementary derivation and numerical simulation of particle track formation and provide an additional perspective on GRW's proposal

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