LEADER 05209nam 2200613Ia 450 001 9911020368903321 005 20230721021843.0 010 $a1-282-11854-4 010 $a9786612118548 010 $a3-527-62748-0 010 $a3-527-62749-9 035 $a(CKB)1000000000766828 035 $a(EBL)481257 035 $a(OCoLC)441889187 035 $a(SSID)ssj0000235319 035 $a(PQKBManifestationID)11203287 035 $a(PQKBTitleCode)TC0000235319 035 $a(PQKBWorkID)10243018 035 $a(PQKB)10992294 035 $a(MiAaPQ)EBC481257 035 $a(EXLCZ)991000000000766828 100 $a20041015d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRelativistic quantum chemistry$b[electronic resource] $ethe fundamental theory of molecular science /$fMarkus Reiher and Alexander Wolf 210 $aWeinheim $cWiley-VCH$dc2009 215 $a1 online resource (691 p.) 300 $aDescription based upon print version of record. 311 $a3-527-31292-7 320 $aIncludes bibliographical references and index. 327 $aRelativistic Quantum Chemistry; Contents; Preface; 1 Introduction; 1.1 Philosophy of this Book; 1.2 Short Reader's Guide; 1.3 Notational Conventions and Choice of Units; Part I - Fundamentals; 2 Elements of Classical Mechanics and Electrodynamics; 2.1 Elementary Newtonian Mechanics; 2.1.1 Newton's Laws of Motion; 2.1.2 Galilean Transformations; 2.1.2.1 Relativity Principle of Galilei; 2.1.2.2 General Galilean Transformations and Boosts; 2.1.2.3 Galilei Covariance of Newton's Laws; 2.1.2.4 Scalars, Vectors, Tensors in 3-Dimensional Space 327 $a2.1.3 Conservation Laws for One Particle in Three Dimensions2.1.4 Collection of N Particles; 2.2 Lagrangian Formulation; 2.2.1 Generalized Coordinates and Constraints; 2.2.2 Hamiltonian Principle and Euler-Lagrange Equations; 2.2.2.1 Discrete System of Point Particles; 2.2.2.2 Explicit Example: Planar Pendulum; 2.2.2.3 Continuous Systems of Fields; 2.2.3 Symmetries and Conservation Laws; 2.2.3.1 Gauge Transformations of the Lagrangian; 2.2.3.2 Energy and Momentum Conservation; 2.2.3.3 General Space-Time Symmetries; 2.3 Hamiltonian Mechanics; 2.3.1 Hamiltonian Principle and Canonical Equations 327 $a2.3.1.1 System of Point Particles2.3.1.2 Continuous System of Fields; 2.3.2 Poisson Brackets and Conservation Laws; 2.3.3 Canonical Transformations; 2.4 Elementary Electrodynamics; 2.4.1 Maxwell's Equations; 2.4.2 Energy and Momentum of the Electromagnetic Field; 2.4.2.1 Energy and Poynting's Theorem; 2.4.2.2 Momentum and Maxwell's Stress Tensor; 2.4.2.3 Angular Momentum; 2.4.3 Plane Electromagnetic Waves in Vacuum; 2.4.4 Potentials and Gauge Symmetry; 2.4.4.1 Lorentz Gauge; 2.4.4.2 Coulomb Gauge; 2.4.4.3 Retarded Potentials; 2.4.5 Survey of Electro- and Magnetostatics; 2.4.5.1 Electrostatics 327 $a2.4.5.2 Magnetostatics2.4.6 One Classical Particle Subject to Electromagnetic Fields; 2.4.7 Interaction of Two Moving Charged Particles; 3 Concepts of Special Relativity; 3.1 Einstein's Relativity Principle and Lorentz Transformations; 3.1.1 Deficiencies of Newtonian Mechanics; 3.1.2 Relativity Principle of Einstein; 3.1.3 Lorentz Transformations; 3.1.3.1 Definition of General Lorentz Transformations; 3.1.3.2 Classification of Lorentz Transformations; 3.1.3.3 Inverse Lorentz Transformation; 3.1.4 Scalars, Vectors, and Tensors in Minkowski Space; 3.1.4.1 Contra- and Covariant Components 327 $a3.1.4.2 Properties of Scalars, Vectors, and Tensors3.2 Kinematical Effects in Special Relativity; 3.2.1 Explicit Form of Special Lorentz Transformations; 3.2.1.1 Lorentz Boost in One Direction; 3.2.1.2 General Lorentz Boost; 3.2.2 Length Contraction, Time Dilation, and Proper Time; 3.2.2.1 Length Contraction; 3.2.2.2 Time Dilation; 3.2.2.3 Proper Time; 3.2.3 Addition of Velocities; 3.2.3.1 Parallel Velocities; 3.2.3.2 General Velocities; 3.3 Relativistic Dynamics; 3.3.1 Elementary Relativistic Dynamics; 3.3.1.1 Trajectories and Relativistic Velocity; 3.3.1.2 Relativistic Momentum and Energy 327 $a3.3.1.3 Energy-Momentum Relation 330 $aWritten by two researchers in the field, this book is a reference to explain the principles and fundamentals in a self-contained, complete and consistent way. Much attention is paid to the didactical value, with the chapters interconnected and based on each other. From the contents:* Fundamentals* Relativistic Theory of a Free Electron: Dirac?s Equation* Dirac Theory of a Single Electron in a Central Potential* Many-Electron Theory I: Quantum Electrodynamics* Many-Electron Theory II: Dirac-Hartree-Fock Theory* Elimination of the Small Component* Unitary Transformati 606 $aQuantum chemistry 606 $aChemistry 615 0$aQuantum chemistry. 615 0$aChemistry. 676 $a541.28 700 $aReiher$b Markus$0932005 701 $aWolf$b Alexander$cDr.$0736785 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911020368903321 996 $aRelativistic quantum chemistry$94418504 997 $aUNINA