Quantum potential: physics, geometry and algebra
type: Item
instance of: scholarly article
title: Quantum potential: physics, geometry and algebra
zbMATH Open document ID: 1342.81001
DOI: 10.1007/978-3-319-00333-7
author: Ignazio Licata
author: D. Fiscaletti
published in: SpringerBriefs in Physics
publication date: 2013-06-18T00:00:00Z
full work available at URL: http://cds.cern.ch/record/1634842
review text: Bohm's realist interpretation of quantum mechanics is an important alternative to Copenhagen interpretation. Although Bohm's theory never was the mainstream, nevertheless it is enjoying a steady development in different directions. It may be difficult for a newcomer to trace all important advances done since Bohm's original texts. The ``brief in physics'' under review would be extremely useful for this task. It is not intended to be an introduction into Bohm's theory, some understanding is required in advance. This permits to provide a condensed presentation of the current state of art with the extensive lists of references to important works, provided at the end of each chapter. The following table of contents gives a good overview of covered topics. \textbf{1 A Short Survey on a ``Strange'' Potential} \quad 1.1 From de Broglie's Pilot Wave to Bohm's Quantum Potential \quad 1.2 The Dynamic and Geometric Approaches to the Quantum Potential \qquad 1.2.1 The Quantum Trajectories of Dürr, Goldstein, Tumulka and Zanghì \qquad 1.2.2 The Quasi-Newtonian Quantum Potential. \qquad 1.2.3 The Thermodynamic Way to the Quantum Potential \qquad 1.2.4 The Geometrodynamic Approach to the Quantum Potential \qquad 1.2.5 The Entropic Approach to Quantum Potential \quad 1.3 Non-commutative Quantum Geometry and Hiley's Algebra Processes in Pre-space \quad References \textbf{2 The Quantum Potential in Particle and Field Theory Models} \quad 2.1 A Bohmian Way to the Klein--Gordon Relativistic Wave Equation \quad 2.2 The Quantum Potential in Dirac Relativistic Quantum Mechanics \quad 2.3 The Quantum Potential in Relativistic Quantum Field Theory \quad References \textbf{3 The Quantum Potential in Gravity and Cosmology} \quad 3.1 Bohm Theory in Curved Space-Time \quad 3.2 Bohmian Theories on Quantum Gravity \quad 3.3 The Role of Quantum Potential in Cosmology \quad References \textbf{4 Entropy, Information, Chaos and the Quantum Potential} \quad 4.1 A Short Survey About the Approaches to Q…
Mathematics Subject Classification ID: 81-01
Mathematics Subject Classification ID: 81P05
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 81P45
Mathematics Subject Classification ID: 81Q65
zbMATH DE Number: 6176776
zbMATH Keywords: Bohm's mechanics
zbMATH Keywords: realistic quantum theory
zbMATH Keywords: de Broglie's pilot wave
zbMATH Keywords: Clifford algebra
zbMATH Keywords: quantum field theory
zbMATH Keywords: relativistic theory
zbMATH Keywords: quantum information
reviewed by: Vladimir V. Kisil
MaRDI profile type: Publication
OpenAlex ID: W428972891
description: scientific article; zbMATH DE number 6176776