LEADER 04983nam 2200721Ia 450 001 9910778073803321 005 20230721021909.0 010 $a981-281-928-2 035 $a(CKB)1000000000767411 035 $a(EBL)1193425 035 $a(SSID)ssj0000519604 035 $a(PQKBManifestationID)12232906 035 $a(PQKBTitleCode)TC0000519604 035 $a(PQKBWorkID)10497988 035 $a(PQKB)11760480 035 $a(MiAaPQ)EBC1193425 035 $a(WSP)00001470 035 $a(Au-PeEL)EBL1193425 035 $a(CaPaEBR)ebr10688024 035 $a(CaONFJC)MIL498396 035 $a(OCoLC)826660292 035 $a(EXLCZ)991000000000767411 100 $a20100621d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum leap$b[electronic resource] $efrom Dirac and Feynman, across the universe, to human body and mind /$fVladimir G. Ivancevic, Tijana T. Ivancevic 210 $aHackensack, NJ $cWorld Scientific$dc2008 215 $a1 online resource (856 p.) 300 $aDescription based upon print version of record. 311 $a981-281-927-4 320 $aIncludes bibliographical references (p. 763-825) and index. 327 $aPreface; 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 327 $a2.2 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 327 $a3.1.4 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 327 $a3.2.3.5 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 327 $a3.3.6.2 Open Strings 330 $aThis 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 606 $aConsciousness 606 $aFeynman integrals 606 $aMind and body 606 $aPhysics$xPhilosophy 606 $aQuantum field theory 606 $aQuantum theory 615 0$aConsciousness. 615 0$aFeynman integrals. 615 0$aMind and body. 615 0$aPhysics$xPhilosophy. 615 0$aQuantum field theory. 615 0$aQuantum theory. 676 $a530.1/2 676 $a530.12 700 $aIvancevic$b Vladimir G$0965912 701 $aIvancevic$b Tijana T$01502711 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778073803321 996 $aQuantum leap$93730640 997 $aUNINA