265 research outputs found
Particle Tracks, Events and Quantum Theory
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 proposalComment: 22 page
Events and Piecewise Deterministic Dynamics in Event-Enhanced Quantum Theory
We enhance the standard formalism of quantum theory to enable events. The
concepts of experiment and of measurement are defined. Dynamics is given by
Liouville's equation that couples quantum system to a classical one. It implies
a unique Markov process involving quantum jumps, classical events and
describing sample histories of individual systems.Comment: to appear in Phys. Lett. A, 12 pages, Latex article.st
The Theory of Kairons
In relativistic quantum mechanics wave functions of particles satisfy field
equations that have initial data on a space--like hypersurface. We propose a
dual field theory of ``wavicles'' that have their initial data on a time--like
worldline. Propagation of such fields is superluminal, even though the Hilbert
space of the solutions carries a unitary representation of the Poincare group
of mass zero. We call the objects described by these field equations
``Kairons''. The paper builds the field equations in a general relativistic
framework, allowing for a torsion. Kairon fields are section of a vector bundle
over space-time. The bundle has infinite--dimensional fibres.Comment: Latex, 21 pages, 1 figure, several misprints from the previous
version correcte
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