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E-grāmata: Quantum Potential: Physics, Geometry and Algebra

  • Formāts: PDF+DRM
  • Sērija : SpringerBriefs in Physics
  • Izdošanas datums: 19-Nov-2013
  • Izdevniecība: Springer International Publishing AG
  • Valoda: eng
  • ISBN-13: 9783319003337
  • Formāts - PDF+DRM
  • Cena: 53,52 €*
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  • Formāts: PDF+DRM
  • Sērija : SpringerBriefs in Physics
  • Izdošanas datums: 19-Nov-2013
  • Izdevniecība: Springer International Publishing AG
  • Valoda: eng
  • ISBN-13: 9783319003337

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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 Zanghģ, 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.

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 Zanghģ.- 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.
1 A Short Survey on a "Strange" Potential
1(48)
1.1 From de Broglie's Pilot Wave to Bohm's Quantum Potential
1(7)
1.2 The Dynamic and Geometric Approaches to the Quantum Potential
8(28)
1.2.1 The Quantum Trajectories of Durr, Goldstein, Tumulka and Zanghi
8(5)
1.2.2 The Quasi-Newtonian Quantum Potential
13(5)
1.2.3 The Thermodynamic Way to the Quantum Potential
18(9)
1.2.4 The Geometrodynamic Approach to the Quantum Potential
27(2)
1.2.5 The Entropic Approach to Quantum Potential
29(7)
1.3 Non-commutative Quantum Geometry and Hiley's Algebra Processes in Pre-space
36(13)
References
45(4)
2 The Quantum Potential in Particle and Field Theory Models
49(20)
2.1 A Bohmian Way to the Klein-Gordon Relativistic Wave Equation
49(6)
2.2 The Quantum Potential in Dirac Relativistic Quantum Mechanics
55(4)
2.3 The Quantum Potential in Relativistic Quantum Field Theory
59(10)
References
66(3)
3 The Quantum Potential in Gravity and Cosmology
69(24)
3.1 Bohm Theory in Curved Space-Time
69(2)
3.2 Bohmian Theories on Quantum Gravity
71(8)
3.3 The Role of Quantum Potential in Cosmology
79(14)
References
89(4)
4 Entropy, Information, Chaos and the Quantum Potential
93
4.1 A Short Survey About the Approaches to Quantum Entropy and Quantum Information
93(8)
4.1.1 Von Neumann Entropy and Shannon Information
93(1)
4.1.2 Kak's Approach to Quantum Information
94(2)
4.1.3 Sbitnev's Approach to Quantum Entropy
96(2)
4.1.4 Quantum Entropy, Fisher Information and the Quantum Potential
98(3)
4.2 Chaos and the Quantum Potential
101
References
105
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.