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Time reversal and complex numbers in quantum theory

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Il Nuovo Cimento (1955-1965)

Summary

Time reversal is in a particular position with respect to quantum theory, because of the intervention of antilinear operators. A discussion of this point should explain the role played by complex numbers in quantum theory. It is suggested to look upon that as an effect of an operational irreversibility of time, this being a consequence of the interaction between quantum system and measuring apparatus, when the irreversibility inherent to this is taken into account.

Riassunto

Si discute la particolare posizione occupata nella teoria quantistica dall’inversione del tempo, a causa dell’intervento di operatori antilineari. Questo fatto dovrebbe chiarire la funzione che hanno i numeri complessi nella teoria quantistica: si prospetta un’interpretazione in termini di una irreversibilità operativa del tempo, conseguenza dell’influenza sui sistemi quantistici degli apparati di misura, essenzialmente irreversibili per loro natura.

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References

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Authors and Affiliations

  1. Istituto di Fisica dell’Università, Pisa

    E. Fabri

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

    E. Fabri

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  1. E. Fabri
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Fabri, E. Time reversal and complex numbers in quantum theory. Nuovo Cim 13, 326–343 (1959). https://doi.org/10.1007/BF02732941

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  • DOI: https://doi.org/10.1007/BF02732941

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