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Cosmological dynamics in tomographic probability representation

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Abstract

The probability representation for quantum states of the universe in which the states are described by a fair probability distribution instead of wave function (or density matrix) is developed to consider cosmological dynamics. The evolution of the universe state is described by standard positive transition probability (tomographic transition probability) instead of the complex transition probability amplitude (Feynman path integral) of the standard approach. The latter one is expressed in terms of the tomographic transition probability. Examples of minisuperspaces in the framework of the suggested approach are presented. Possibility of observational applications of the universe tomographs are discussed.

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Authors and Affiliations

  1. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo Edificio N' via Cinthia, 45 - 80126, Napoli, Italy

    V. I. Man`ko & G. Marmo

  2. Dipartimento di Scienze Fisiche, Università “Federico II” di Napoli Complesso Universitario di Monte S. Angelo Edificio N' via Cinthia, 45 - 80126, Napoli, Italy

    C. Stornaiolo

Authors
  1. V. I. Man`ko
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  2. G. Marmo
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  3. C. Stornaiolo
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Correspondence to C. Stornaiolo.

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Man`ko, V.I., Marmo, G. & Stornaiolo, C. Cosmological dynamics in tomographic probability representation. Gen Relativ Gravit 37, 2003–2014 (2005). https://doi.org/10.1007/s10714-005-0161-5

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  • DOI: https://doi.org/10.1007/s10714-005-0161-5

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