Quantum leap : from Dirac and Feynman, across the universe, to human body and mind / Vladimir G. Ivancevic, Tijana T. Ivancevic.

Format:

Book

Author/Creator:

Ivancevic, Vladimir G.

Contributor:

Ivancevic, Tijana T.

Language:

English

Subjects (All):

Consciousness.

Feynman integrals.

Mind and body.

Physics--Philosophy.

Physics.

Quantum field theory.

Quantum theory.

Physical Description:

1 online resource (856 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, NJ : World Scientific, c2008.

Language Note:

English

Summary:

This is a unique 21st-century 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 non-mathematical and mathematical preliminaries. It presents the basics of both non-relativistic and relativistic quantum mechanics, and introduces Feynman path integrals and their application to quantum fields and string theory, as well as some non-quantum 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 Non-Relativistic 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 State-Space for n Quantum Particles

2.2 Relativistic Quantum Mechanics and Electrodynamics2.2.1 Difficulties of the Relativistic Quantum Mechanics; 2.2.2 Particles of Half-Odd 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 Space-Time 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 Path-Integral Monte-Carlo 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 Seiberg-Witten 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 SW-Monopoles; 3.2.4.1 Dimensional Reduction; 3.2.4.2 TQFTs of 3D Monopoles; 3.2.4.3 Non-Abelian 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. 763-825) and index.

ISBN:

9789812819284

9812819282

OCLC:

826660292