Abstract
A model of quantum theory is presented where the evolution of pure states into mixed states is possible, so that information on the system states is not conserved. The theory is based upon an evolution equation for the density operator, which is an extension of the Landau-von Neumann equation. The equation contains the system hamiltonian and a single parameter characterizing the deviation from the standard theory. The model does not break usual conservation laws. The general solution is represented as an average over the solutions of conventional theory; this is an effect of the uncertainty in time. Predictions of the model are discussed in brief. Spectrometry and scattering do not experience the modification, it manifests itself only in processes with an observable time dependence. Neutral kaon decays are considered. The model is proposed in view of Hawking's suggestion that quantum gravity may be a reason for an additional unpredictability in elementary particle physics.
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