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Conditional probabilities in quantum mechanics. I.—Conditioning with respect to a single event

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The mathematical structure of quantum mechanics suggests the definition of a generalized probability space, consisting of the lattice of projections of a von Neumann algebra and a probability measure defined on it. The conditional probability with respect to a single event is defined in this space and the physical relevance of this notion for quantum mechanics is pointed out.

Riassunto

La struttura matematica della meccanica quantistica suggerisce la definizione di uno spazio di probabilità generalizzato, consistente nel reticolo dei proiettori di un’algebra di von Neumann e in una misura di probabilità definita su di esso. Si definisce in questo spazio la probabilità condizionata rispetto ad un singolo evento e si mette in evidenza la rilevanza fisica di questo concetto per la meccanica quantistica.

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Authors and Affiliations

  1. Istituto di Scienze Fisiche dell’Università, Genova

    G. Cassinelli & N. Zanghì

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Genova, Genova, Italy

    G. Cassinelli & N. Zanghì

Authors
  1. G. Cassinelli
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  2. N. Zanghì
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Cassinelli, G., Zanghì, N. Conditional probabilities in quantum mechanics. I.—Conditioning with respect to a single event. Nuov Cim B 73, 237–245 (1983). https://doi.org/10.1007/BF02721792

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  • DOI: https://doi.org/10.1007/BF02721792

PACS. 03.65

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