Collapse of the State Vector

  title={Collapse of the State Vector},
  author={Steven Weinberg},
  journal={Physical Review A},
  • S. Weinberg
  • Published 29 September 2011
  • Physics
  • Physical Review A
Modifications of quantum mechanics are considered, in which the state vector of any system, large or small, undergoes a stochastic evolution. The general class of theories is described, in which the probability distribution of the state vector collapses to a sum of delta functions, one for each possible final state, with coefficients given by the Born rule. 
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Speakable and Unspeakable in Quantum Mechanics
For a survey and more recent references , see P . Hohenberg
  • Rev . Mod . Phys . Speakable and Unspeakable in Quantum Mechanics
  • 1993
  • 36, 219 (1984); R. Omnès, Rev. Mod. Phys. 64, 339 (1992); M. Gell–Mann and J. B. Hartle, in Complexity, Entropy, and the Physics of Information, ed. W. Zurek (Addison– Wesley, Reading, MA, 1990); in Proceedings of the Third International Symposium on the Foundations of Quantum Mechanics in the Light
  • 1990
The possibility of instantaneous communication between separated systems is discussed in a wider context by J
  • Helv. Phys. Acta 62,
  • 1989