Singapore: World Scientific Publishing Company, 2008. — 855 p.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 cosmology. Lastly, the book turns to the human body and mind, applying quantum theory to electro-muscular stimulation and consciousness. It can be used as a graduate (or advanced undergraduate) textbook for a two-semester course in quantum physics and its modern applications. Some parts of the book can also be used by engineers, biologists, psychologists and computer scientists, as well as applied mathematicians, both in industry and academia. Contents: Elements of Quantum Mechanics; Feynman Path Integrals; Quantum Universe; Quantum Biophysics in Human Body: Electro Muscular Stimulation; Quantum Games and Quantum Computers; Quantum Mind.Preface Acknowledgments Soft Introduction to Quantum Mechanics Quantum Hilbert Space Formal Hilbert Space Human Intelligence, Mind and Reason Human Reason Basics of Non–Relativistic Quantum Mechanics Canonical Quantization Quantum States and Operators Quantum Pictures Spectrum of a Quantum Operator General Representation Model Direct Product Space State–Space for n Quantum Particles Difficulties of the Relativistic Quantum Mechanics Particles of Half–Odd Integral Spin Particles of Integral Spin Dirac’s Electrodynamics Action Principle Dirac Equation and Formal QED in Brief Lorentzian Space-Time and Gravity Unification of Fundamental Interactions First Unification Path Integrals: Sums Over Histories Classical Probability Concept Quantum Probability Concept Quantum Coherent States Dirac’s hbra | keti Transition Amplitude Feynman’s Sum–over–Histories The Basic Form of a Path Integral Adaptive Path Integral Extract from Feynman’s Nobel Lecture Lagrangian Path Integral Hamiltonian Path Integral Feynman–Kac Formula Canonical versus Path–Integral Quantization Sources Fields Gauges Riemannian–Symplectic Geometries Statistical Mechanics via Path Integrals Path–Integral Monte–Carlo Simulation Sum over Geometries and Topologies Simplicial Quantum Geometry Discrete Gravitational Path Integrals Regge Calculus Lorentzian Path Integral Path Integrals and Green’s Functions Topological Quantum Field Theory TQFT and Seiberg–Witten Theory SW Invariants and Monopole Equations Topological Lagrangian Quantum Field Theory Dimensional Reduction and D Field Theory Geometrical Interpretation TQFTs Associated with SW–Monopoles Dimensional Reduction TQFTs of D Monopoles Non–Abelian Case Strings Interactions Loop Topology of Closed Surfaces Transition Amplitudes for Strings Weyl Invariance and Vertex Operator Formulation Transition Amplitude for a Single Point Particle Witten’s Open String Field Theory Operator Formulation of String Field Theory Open Strings Construction of Overlap Vertices Transformation of String Fields Topological Strings Geometrical Transitions Topological Strings and Black Hole Attractors Stochastic Optimal Control Path–Integral Formalism Monte Carlo Sampling Nonlinear Dynamics of Option Pricing Theory and Simulations of Option Pricing Option Pricing via Path Integrals Continuum Limit and American Options Continuum Limit of the Kuramoto Net Path–Integral for Complex Networks Cerebellum as a Neural Path–Integral Spinal Autogenetic Reflex Control Cerebellum – the Comparator Hamiltonian Action and Neural Path Integral Phase Transitions in Hamiltonian Systems Geometry of the Largest Lyapunov Exponent Euler Characteristics of Hamiltonian Systems What Is Quantum Gravity? String Theory Loop Quantum Gravity Discrete Approaches Hawking’s Euclidean Quantum Gravity QFT in Curved Space–Time New Approaches to Quantum Gravity Hawking’s Black Hole Entropy Introduction to Loop Quantum Gravity Formalism of Loop Quantum Gravity Loop Algebra Loop Quantum Gravity Loop States and Spin Network States Diagrammatic Representation of the States Quantum Operators Loop vs Connection Representation Quantum Cosmology Hawking’s Cosmology in ‘Plain English’ Theories of Everything, Anthropic Principle and Wave Function of the Universe Quantum Mechanics Scientific Reduction Anthropic Reasoning in Quantum Cosmology Quantum State of the Universe From Quantum Mechanics to Quantum Gravity Quantum Gravity and Black Holes Generalized Quantum Mechanics Quantum Mechanics Today Spacetime and Quantum Theory The Quantum Mechanics of Closed Systems Quantum Theory in + Form Generalized Quantum Theory A Quantum Theory of Spacetime Geometry Beyond Spacetime Emergence/Excess Baggage Emergence of Signature Beyond Quantum Theory Anthropic String Landscape The Landscape The Trouble with de Sitter Space De Sitter Space is Unstable Bubble Cosmology Cosmology as a Resonance Top–Down Cosmology Trace Anomaly Driven Inflation Instability of Anomaly–Induced Inflation Origin of Inflation Cosmology in the String Landscape Quantum State Prediction in Quantum Cosmology Anthropic Reasoning Models of Inflation Prediction in a Potential Landscape Alternative Proposals Interpretations Brane Cosmology The Randall–Sundrum Brane World Including a Bulk Scalar Field Moving Branes in a Static Bulk Cosmology of a Two–Brane System Brane Collision Open Questions Hawking’s Brane New World RS Scenario from AdS/CFT CFT on the Domain Wall The Total Action Comparison with D Gravity Summary on Hawking’s Brane New World Brane–World Quantum Cosmology Basics of Electrical Muscular Stimulation EMS Functor Global macro–level of EMStotal Local Micro–Level of EMStotal Micro–Level Adaptation and Muscular Training External Smooth Maxwell Electrodynamics Internal Cellular Bio–Quantum Electrodynamics External Anatomical Muscular Mechanics Internal Myofibrillar Bio–Quantum Mechanics Facial Curvatures and Their Deviations Facial Riemannian Patch–Manifold Cellular Muscle–Fat Geometry Nash’s Classical Game Theory Basics of Classical Game Theory Background to Nash Equilibrium The Rationalistic Interpretation The Mass–Action Interpretation Quantum Games Quantum Strategies Quantum Games Two–Qubit Quantum Games Prisoners’ Dilemma Chicken Game Quantum Cryptography and Gambling Formal Quantum Games Formal Framework Various Types of Formal Games Quantum Simultaneous Games Quantum Sequential Games Equivalence of Formal Games Summary on Formal Quantum Games Entanglement, Teleportation and Information Quantum Computing Quantum Computers The Circuit Model for Quantum Computers Elementary Quantum Algorithms The Hardware for Quantum Computers Josephson Effect Pendulum Analog Dissipative Josephson Junction Junction Hamiltonian and its Eigenstates Transition Rate Josephson Junction Ladder (JJL) Underdamped JJL Synchronization in Arrays of Josephson Junctions Phase Model for Underdamped JJL Comparison of LKM and RCSJ Models ‘Small–World’ Connections in JJL Arrays Human Mind The Mind–Body Problem EPR Paradox Bell’s Theorem Orchestrated Reduction and Penrose Paradox Orchestrated Objective Reduction The Orch OR Model Physical Science and Consciousness Reducing the Consciousness to Its Elements Manipulation of Consciousness A Need for Paradigm–Shift Quantum Synapses Biochemistry of Microtubules Kink Soliton Model of MT–Dynamics Liouville–Hamiltonian Neurodynamics Dissipative Quantum Brain Model QED Brain Theory of Mind and Matter Matter Mind Unification Quantum Consciousness The Experiment Bio–Active Peptides Drugs Quantum–Like Psychodynamics Life Space Foam Joint Action Psychodynamics Feynman–Finsler Approach to Adaptation Bibliography Index
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