Quantum leap [electronic resource] : from Dirac and Feynman, across the universe, to human body and mind / Vladimir G. Ivancevic, Tijana T. Ivancevic.
 Publication:
 Hackensack, NJ : World Scientific, c2008.
 Format/Description:
 Book
1 online resource (856 p.)  Subjects:
 Consciousness.
Feynman integrals.
Mind and body.
Physics  Philosophy.
Quantum field theory.
Quantum theory.  Form/Genre:
 Electronic books.
 Language:
 English
 Summary:
 This is a unique 21stcentury monograph that reveals a basic, yet deep understanding of the universe, as well as the human mind and body  all from the perspective of quantum mechanics and quantum field theory.This book starts with both nonmathematical and mathematical preliminaries. It presents the basics of both nonrelativistic and relativistic quantum mechanics, and introduces Feynman path integrals and their application to quantum fields and string theory, as well as some nonquantum applications. It then describes the quantum universe in the form of loop quantum gravity and quantum cosm
 Contents:
 Preface; Acknowledgments; Contents; 1. Introduction; 1.1 Soft Introduction to Quantum Mechanics; 1.2 Hilbert Space; 1.2.1 Quantum Hilbert Space; 1.2.2 Formal Hilbert Space; 1.3 Human Intelligence, Mind and Reason; 1.3.0.1 Human Reason; 2. Elements of Quantum Mechanics; 2.1 Basics of NonRelativistic Quantum Mechanics; 2.1.1 Canonical Quantization; 2.1.2 Quantum States and Operators; 2.1.3 Quantum Pictures; 2.1.4 Spectrum of a Quantum Operator; 2.1.5 General Representation Model; 2.1.6 Direct Product Space; 2.1.7 StateSpace for n Quantum Particles
2.2 Relativistic Quantum Mechanics and Electrodynamics2.2.1 Difficulties of the Relativistic Quantum Mechanics; 2.2.2 Particles of HalfOdd Integral Spin; 2.2.3 Particles of Integral Spin; 2.2.4 Dirac's Electrodynamics Action Principle; 2.2.5 Dirac Equation and Formal QED in Brief; 2.2.6 Lorentzian SpaceTime and Gravity; 2.2.7 Unification of Fundamental Interactions; 2.2.7.1 First Unification; 3. Feynman Path Integrals; 3.1 Path Integrals: Sums Over Histories; 3.1.1 Intuition Behind a Path Integral; 3.1.1.1 Classical Probability Concept; 3.1.1.2 Quantum Probability Concept
3.1.4 Statistical Mechanics via Path Integrals3.1.5 PathIntegral MonteCarlo Simulation; 3.1.6 Sum over Geometries and Topologies; 3.1.6.1 Simplicial Quantum Geometry; 3.1.6.2 Discrete Gravitational Path Integrals; 3.1.6.3 Regge Calculus; 3.1.6.4 Lorentzian Path Integral; 3.2 Dynamics of Quantum Fields; 3.2.1 Path Integrals and Green's Functions; 3.2.2 Topological Quantum Field Theory; 3.2.3 TQFT and SeibergWitten Theory; 3.2.3.1 SW Invariants and Monopole Equations; 3.2.3.2 Topological Lagrangian; 3.2.3.3 Quantum Field Theory; 3.2.3.4 Dimensional Reduction and 3D Field Theory
3.2.3.5 Geometrical Interpretation3.2.4 TQFTs Associated with SWMonopoles; 3.2.4.1 Dimensional Reduction; 3.2.4.2 TQFTs of 3D Monopoles; 3.2.4.3 NonAbelian Case; 3.3 Stringy Geometrodynamics; 3.3.1 Stringy Actions and Amplitudes; 3.3.1.1 Strings; 3.3.1.2 Interactions; 3.3.1.3 Loop Topology of Closed Surfaces; 3.3.2 Transition Amplitudes for Strings; 3.3.3 Weyl Invariance and Vertex Operator Formulation; 3.3.4 More General Stringy Actions; 3.3.5 Transition Amplitude for a Single Point Particle; 3.3.6 Witten's Open String Field Theory; 3.3.6.1 Operator Formulation of String Field Theory
3.3.6.2 Open Strings  Notes:
 Description based upon print version of record.
Includes bibliographical references (p. 763825) and index.  Contributor:
 Ivancevic, Tijana T.
 ISBN:
 9812819282
 OCLC:
 826660292

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