Foundations of Physics

, Volume 20, Issue 2, pp 159–188

Spontaneous localizations of the wave function and classical behavior

  • Andor Frenkel

DOI: 10.1007/BF00731645

Cite this article as:
Frenkel, A. Found Phys (1990) 20: 159. doi:10.1007/BF00731645


We investigate and develop further two models, the GRW model and the K model, in which the Schrödinger evolution of the wave function is spontaneously and repeatedly interrupted by random, approximate localizations, also called “self-reductions” below. In these models the center of mass of a macroscopic solid body is well localized even if one disregards the interactions with the environment. The motion of the body shows a small departure from the classical motion. We discuss the prospects and the difficulties of observing this anomaly. As far a the influence of the surroundings on submacroscopic objects (like dust particles) is concerned, we show that the estimates obtained recently in the theory of continuous measurements and in the K model are compatible. Also, we elaborate upon the relationship between the models. Firstly, borrowing a line of thought from the K model, we find the transition region between macroscopic and microscopic behaviors in the GRW model. Secondly, we refine the propagation rule of the wave function in the K model with the help of the time-evolution equation proposed in the GRW model.

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Andor Frenkel
    • 1
  1. 1.Central Research Institute for PhysicsBudapest, 114Hungary

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