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Foundations of Physics

, Volume 26, Issue 10, pp 1357–1374 | Cite as

On the probabilistic postulate of quantum mechanics

  • Andrés Cassinello
  • José Luis Sánchez-Gómez
Article

Abstract

We study whether the probabilistic postulate could be derived from basic principles. Through the analysis of the Strong Law of Large Numbers and its formulation in quantum mechanics, we show, contrary to the claim of the many-worlds interpretation defenders and the arguments of some other authors, the impossibility of obtaining the probabilistic postulate by means of the frequency analysis of an ensemble of infinite copies of a single system. It is shown, though, how the standard form of the probability as the square of the scalar product follows from Gleason's theorem.

Keywords

Quantum Mechanic Basic Principle Scalar Product Standard Form Frequency Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Andrés Cassinello
    • 1
  • José Luis Sánchez-Gómez
    • 1
  1. 1.Departamento de Fisica TeóricaUniversidad Autónoma de MadridMadridSpain

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