Quantum Potential: Physics, Geometry and Algebra - Fiscaletti, Davide

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Résumé :
Recently the interest in Bohm realist interpretation of quantum mechanics has grown. The important advantage of this approach lies in the possibility to introduce non-locality ab initio, and not as an ?unexpected host?. In this book?the authors give a detailed analysis of quantum potential, the non-locality term and its role in quantum cosmology and information. The different approaches to the quantum potential are analysed, starting from the original attempt to introduce a realism of particles trajectories (influenced by de Broglie?s pilot wave) to the recent dynamic interpretation provided by Goldstein, Durr, Tumulka and Zangh?, and the geometrodynamic picture, with suggestion about quantum gravity. Finally we focus on the algebraic reading of Hiley and Birkbeck school, that analyse the meaning of the non-local structure of the world, bringing important consequences for the space, time and information concepts.

Biographie:
Ignazio Licata is an Italian theoretical physicist, professor? and scientific director of the Institute for Scientific Methodology, Italy. He worked on quantum field theory, interpretation of quantum mechanics, and? recently quantum cosmology. His further topics of research include the foundation of quantum mechanics, space-time at Planck scale, the group? approach in quantum cosmology, systems theory, non-linear dynamics, as well? as computation in physical, biological and cognitive systems (logical? openness, sub and super Turing systems). Licata has developed a new approach to quantum cosmology (Archaic Universe) based on de Sitter? invariant special relativity....

Sommaire:

From the Contents: Quantum Potential.- The Quantum Potential in Schr?dinger Equation.- The Pilot Wave Theory.- Particles' trajectories as the foundation of Bohm's mechanics: the nutshell of D?rr, Goldstein, Tumulka and Zangh?.- Non-Commutative Quantum Geometry and the Algebraic Approach to Non-Locality.- Quantum potential in particle and field theory models.- Klein Gordon Equation and Bertoldi-Faraggi-Matone Theory.- The quantum potential in Bohm's approach to the Dirac relativistic quantum mechanics.- Quantum Potential in Curved Space Field Theory.