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Weyl Geometries, Fisher Information and Quantum Entropy in Quantum Mechanics

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Abstract

It is known that quantum mechanics can be interpreted as a non-Euclidean deformation of the space-time geometries by means Weyl geometries. We propose here a dynamical explanation of such approach by deriving Bohm potential from minimum condition of Fisher information connected to the entropy of a quantum system.

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Notes

  1. In the next equations, for simplicity we are going to denote the generic function W k (defined by Eqs. (10)) with W.

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Authors and Affiliations

  1. ISEM, Institute for Scientific Methodology, Palermo, Italy

    Davide Fiscaletti & Ignazio Licata

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  1. Davide Fiscaletti
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  2. Ignazio Licata
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Correspondence to Ignazio Licata.

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Fiscaletti, D., Licata, I. Weyl Geometries, Fisher Information and Quantum Entropy in Quantum Mechanics. Int J Theor Phys 51, 3587–3595 (2012). https://doi.org/10.1007/s10773-012-1245-0

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  • DOI: https://doi.org/10.1007/s10773-012-1245-0

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