Quantum Potential: Physics, Geometry and Algebra

ISBN-13: 9783319003320 / Angielski / Miękka / 2013 / 106 str.

Ignazio Licata; Davide Fiscaletti

Opis

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 Zanghi, 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.

Spis treści

From the Contents: Quantum Potential.- The Quantum Potential in Schrödinger Equation.- The Pilot Wave Theory.- Particles’ trajectories as the foundation of Bohm’s mechanics: the nutshell of Dürr, Goldstein, Tumulka and Zanghì.- 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.

O autorze

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.