{"product_id":"john-david-jackson-9781119880387","title":"John David Jackson","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Basics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Wave Mechanics of de Broglie and Schrödinger 1\u003c\/p\u003e \u003cp\u003e1.2 Klein-Gordon Equation 2\u003c\/p\u003e \u003cp\u003e1.3 Non-Relativistic Approximation 2\u003c\/p\u003e \u003cp\u003e1.4 Free-Particle Probability Current 3\u003c\/p\u003e \u003cp\u003e1.5 Expectation Values 4\u003c\/p\u003e \u003cp\u003e1.6 Particle in a Static, Conservative Force Field 6\u003c\/p\u003e \u003cp\u003e1.7 Ehrenfest Theorem 6\u003c\/p\u003e \u003cp\u003e1.8 Schrödinger Equation in Momentum Space 8\u003c\/p\u003e \u003cp\u003e1.9 Spread in Time of a Free-Particle Wave Packet 8\u003c\/p\u003e \u003cp\u003e1.10 The Nature of Solutions to the Schrödinger Equation 9\u003c\/p\u003e \u003cp\u003e1.11 A Bound-State Problem: Linear Potential 10\u003c\/p\u003e \u003cp\u003e1.12 Sturm-Liouville Eigenvalue Problem 11\u003c\/p\u003e \u003cp\u003e1.13 Linear Operators on Functions 13\u003c\/p\u003e \u003cp\u003e1.14 Eigenvalue Problem for a Hermitian Operator 14\u003c\/p\u003e \u003cp\u003e1.15 Variational Methods for Energy Eigenvalues 14\u003c\/p\u003e \u003cp\u003e1.16 Rayleigh-Ritz Method 16\u003c\/p\u003e \u003cp\u003eProblems 18\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Reformulation 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Stern-Gerlach Experiment 22\u003c\/p\u003e \u003cp\u003e2.2 Linear Vector Spaces 22\u003c\/p\u003e \u003cp\u003e2.3 Linear Operators 25\u003c\/p\u003e \u003cp\u003e2.4 Unitary Transformations of Operators 27\u003c\/p\u003e \u003cp\u003e2.5 Generalized Uncertainty Relation for Self-Adjoint Operators 27\u003c\/p\u003e \u003cp\u003e2.6 Infinite-Dimensional Vector Spaces - Hilbert Space 28\u003c\/p\u003e \u003cp\u003e2.7 Assumptions of Quantum Mechanics 29\u003c\/p\u003e \u003cp\u003e2.8 Mixtures and the Density Matrix 30\u003c\/p\u003e \u003cp\u003e2.9 Measurement 32\u003c\/p\u003e \u003cp\u003e2.10 Classical vs. Quantum Probabilities 33\u003c\/p\u003e \u003cp\u003e2.11 Capsule Review of Classical Mechanics and Conservation Laws 34\u003c\/p\u003e \u003cp\u003e2.12 Translation Invariance and Momentum Conservation 37\u003c\/p\u003e \u003cp\u003e2.13 Dirac’s p’s and q’s 38\u003c\/p\u003e \u003cp\u003e2.14 Time Development of the State Vector 41\u003c\/p\u003e \u003cp\u003e2.15 Schrödinger and Heisenberg Pictures 42\u003c\/p\u003e \u003cp\u003e2.16 Simple Harmonic Oscillator 46\u003c\/p\u003e \u003cp\u003eProblems 51\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Wentzel-Kramers-Brillouin (WKB) Method 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Semi-classical Approximation 55\u003c\/p\u003e \u003cp\u003e3.2 Solution in One Dimension 56\u003c\/p\u003e \u003cp\u003e3.3 Schrödinger Equation for the Linear Potential 58\u003c\/p\u003e \u003cp\u003e3.4 Connection Formulae for the WKB Method 63\u003c\/p\u003e \u003cp\u003e3.5 WKB Formula for Bound States 65\u003c\/p\u003e \u003cp\u003e3.6 Example of WKB with a Power Law Potential 67\u003c\/p\u003e \u003cp\u003e3.7 Normalization of WKB Bound State Wave Functions 68\u003c\/p\u003e \u003cp\u003e3.8 Bohr’s Correspondence Principle and Classical Motion 68\u003c\/p\u003e \u003cp\u003e3.9 Power of WKB 72\u003c\/p\u003e \u003cp\u003e3.10 Barrier Penetration with the WKB Method 73\u003c\/p\u003e \u003cp\u003e3.11 Symmetrical Double-Well Potential 75\u003c\/p\u003e \u003cp\u003e3.12 Application of the WKB Method to Ammonia Molecule 79\u003c\/p\u003e \u003cp\u003eProblems 80\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Rotations, Angular Momentum, and Central Force Motion 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Infinitesimal Rotations 85\u003c\/p\u003e \u003cp\u003e4.2 Construction of Irreducible Representations 88\u003c\/p\u003e \u003cp\u003e4.3 Coordinate Representation of Angular Momentum Eigenvectors 91\u003c\/p\u003e \u003cp\u003e4.4 Observation of Sign Change for Rotation by 2π 92\u003c\/p\u003e \u003cp\u003e4.5 Euler Angles, Wigner d-functions 95\u003c\/p\u003e \u003cp\u003e4.6 Application to Nuclear Magnetic Resonance 98\u003c\/p\u003e \u003cp\u003e4.7 Addition of Angular Momenta 104\u003c\/p\u003e \u003cp\u003e4.8 Integration Over the Rotation Group 106\u003c\/p\u003e \u003cp\u003e4.9 Gaunt Integral 108\u003c\/p\u003e \u003cp\u003e4.10 Tensor Operators 109\u003c\/p\u003e \u003cp\u003e4.11 Wigner-Eckart Theorem 112\u003c\/p\u003e \u003cp\u003e4.12 Applications of the Wigner-Eckart Theorem 114\u003c\/p\u003e \u003cp\u003e4.13 Two-Body Central Force Motion 118\u003c\/p\u003e \u003cp\u003e4.14 The Coulomb Problem 121\u003c\/p\u003e \u003cp\u003e4.15 Patterns of Bound States 125\u003c\/p\u003e \u003cp\u003e4.16 Hellmann-Feynman Theorem 127\u003c\/p\u003e \u003cp\u003eProblems 128\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Time-Independent Perturbation Theory 135\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Time-Independent Perturbation Expansion 135\u003c\/p\u003e \u003cp\u003e5.2 Interlude: Spectra and History 137\u003c\/p\u003e \u003cp\u003e5.3 Fine Structure of Hydrogen 139\u003c\/p\u003e \u003cp\u003e5.4 Stark Effect in Ground-State Hydrogen 141\u003c\/p\u003e \u003cp\u003e5.5 Perturbation Theory with Degeneracy 143\u003c\/p\u003e \u003cp\u003e5.6 Linear Stark Effect in Hydrogen 145\u003c\/p\u003e \u003cp\u003e5.7 Perturbation Theory with Near Degeneracy 146\u003c\/p\u003e \u003cp\u003e5.8 Zeeman and Paschen-Back Effects in Hydrogen 149\u003c\/p\u003e \u003cp\u003eProblems 149\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Atomic Structure 151\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Parity 151\u003c\/p\u003e \u003cp\u003e6.2 Identical Particles and the Pauli Exclusion Principle 153\u003c\/p\u003e \u003cp\u003e6.3 Atoms 158\u003c\/p\u003e \u003cp\u003e6.4 Helium Atom 159\u003c\/p\u003e \u003cp\u003e6.5 Periodic Table 164\u003c\/p\u003e \u003cp\u003e6.6 Multiplet Structure, Russell-Saunders Coupling 165\u003c\/p\u003e \u003cp\u003e6.7 Spin-Orbit Interaction 172\u003c\/p\u003e \u003cp\u003e6.8 Intermediate Coupling 176\u003c\/p\u003e \u003cp\u003e6.9 Thomas-Fermi Atom 180\u003c\/p\u003e \u003cp\u003e6.10 Hartree-Fock Approximation 185\u003c\/p\u003e \u003cp\u003eProblems 189\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Time-Dependent Perturbation Theory and Scattering 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Time-dependent Perturbation Theory 197\u003c\/p\u003e \u003cp\u003e7.2 Fermi’s Golden Rule 202\u003c\/p\u003e \u003cp\u003e7.3 Scattering Amplitude 204\u003c\/p\u003e \u003cp\u003e7.4 Born Approximation 205\u003c\/p\u003e \u003cp\u003e7.5 Scattering Theory from Fermi’s Golden Rule 207\u003c\/p\u003e \u003cp\u003e7.6 Inelastic Scattering 211\u003c\/p\u003e \u003cp\u003e7.7 Optical Theorem 214\u003c\/p\u003e \u003cp\u003e7.8 Validity Criterion for the First Born Approximation 216\u003c\/p\u003e \u003cp\u003e7.9 Eikonal Approximation 216\u003c\/p\u003e \u003cp\u003e7.10 Method of Partial Waves 223\u003c\/p\u003e \u003cp\u003e7.11 Behavior of the Cross Section and the Argand Diagram 225\u003c\/p\u003e \u003cp\u003e7.12 Hard Sphere Scattering 227\u003c\/p\u003e \u003cp\u003e7.13 Strongly Attractive Potentials and Resonance 229\u003c\/p\u003e \u003cp\u003e7.14 Levinson’s Theorem 232\u003c\/p\u003e \u003cp\u003eProblems 234\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Semi-Classical and Quantum Electromagnetic Field 241\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Electromagnetic Hamiltonian and Gauge Invariance 241\u003c\/p\u003e \u003cp\u003e8.2 Aharonov-Bohm Effect 242\u003c\/p\u003e \u003cp\u003e8.3 Semi-Classical Radiation Theory 244\u003c\/p\u003e \u003cp\u003e8.4 Scalar Field Quantization 246\u003c\/p\u003e \u003cp\u003e8.5 Quantization of the Radiation Field 247\u003c\/p\u003e \u003cp\u003e8.6 States of the Electromagnetic Field 252\u003c\/p\u003e \u003cp\u003e8.7 Vacuum Expectation Values of E, E ⋅ E over Finite Volume 253\u003c\/p\u003e \u003cp\u003e8.8 Classical vs. Quantum Radiation 254\u003c\/p\u003e \u003cp\u003e8.9 Quasi-Classical Fields and Coherent States 255\u003c\/p\u003e \u003cp\u003eProblems 257\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Emission and Absorption of Radiation 259\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Matrix Elements and Rates 259\u003c\/p\u003e \u003cp\u003e9.2 Dipole Transitions 261\u003c\/p\u003e \u003cp\u003e9.3 General Selection Rules 262\u003c\/p\u003e \u003cp\u003e9.4 Charged Particle in a Central Field 263\u003c\/p\u003e \u003cp\u003e9.5 Decay Rates with LS Coupling 264\u003c\/p\u003e \u003cp\u003e9.6 Line Breadth and Level Shift 267\u003c\/p\u003e \u003cp\u003e9.7 Alteration of Spontaneous Emission from Changed Density of States 272\u003c\/p\u003e \u003cp\u003eProblems 277\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Relativistic Quantum Mechanics 281\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Klein-Gordon Equation 281\u003c\/p\u003e \u003cp\u003e10.2 Dirac Equation 283\u003c\/p\u003e \u003cp\u003e10.3 Angular Momentum in Dirac Equation 285\u003c\/p\u003e \u003cp\u003e10.4 Two-Component Equation and Plane-Wave Solutions 286\u003c\/p\u003e \u003cp\u003e10.5 Dirac’s Treatment of Negative Energy States 288\u003c\/p\u003e \u003cp\u003e10.6 Heisenberg Operators and Equations of Motion 289\u003c\/p\u003e \u003cp\u003e10.7 Hydrogen in the Dirac Equation 290\u003c\/p\u003e \u003cp\u003e10.8 Foldy-Wouthuysen Transformation 291\u003c\/p\u003e \u003cp\u003e10.9 Lorentz Covariance 294\u003c\/p\u003e \u003cp\u003e10.10 Discrete Symmetries 297\u003c\/p\u003e \u003cp\u003e10.11 Bilinear Covariants 301\u003c\/p\u003e \u003cp\u003e10.12 Applications to Electromagnetic Form Factors 302\u003c\/p\u003e \u003cp\u003e10.13 Potential Scattering of a Dirac Particle 305\u003c\/p\u003e \u003cp\u003e10.14 Neutron-Electron Scattering 307\u003c\/p\u003e \u003cp\u003e10.15 Compton Scattering 312\u003c\/p\u003e \u003cp\u003eProblems 322\u003c\/p\u003e \u003cp\u003eA Dimensions and Units 327\u003c\/p\u003e \u003cp\u003eB Mathematical Tools 329\u003c\/p\u003e \u003cp\u003eB. 1 Contour Integration 329\u003c\/p\u003e \u003cp\u003eB. 2 Green Function for Helmholtz Equation 333\u003c\/p\u003e \u003cp\u003eB. 3 Wigner 3-j and 6-j Symbols 335\u003c\/p\u003e \u003cp\u003eC Selected Solutions 339\u003c\/p\u003e \u003cp\u003eC. 1 Chapter 1 339\u003c\/p\u003e \u003cp\u003eC. 2 Chapter 2 340\u003c\/p\u003e \u003cp\u003eC. 3 Chapter 3 343\u003c\/p\u003e \u003cp\u003eC. 4 Chapter 4 352\u003c\/p\u003e \u003cp\u003eC. 5 Chapter 5 362\u003c\/p\u003e \u003cp\u003eC. 6 Chapter 6 366\u003c\/p\u003e \u003cp\u003eC. 7 Chapter 7 375\u003c\/p\u003e \u003cp\u003eC. 8 Chapter 8 377\u003c\/p\u003e \u003cp\u003eC. 9 Chapter 9 380\u003c\/p\u003e \u003cp\u003eC. 10 Chapter 10 387\u003c\/p\u003e \u003cp\u003eBibliography 393\u003c\/p\u003e \u003cp\u003eIndex 395\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407180865879,"sku":"9781119880387","price":72.68,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119880387.jpg?v=1730498457","url":"https:\/\/bookcurl.com\/products\/john-david-jackson-9781119880387","provider":"Book Curl","version":"1.0","type":"link"}