Introductory Quantum Physics And Relativity (Second Edition)

Contents\nAcknowledgements\n1 Introduction\n2. Old Quantum Theory\n	2.1. Black body radiation\n	2.2. The photoelectric effect\n	2.3. Compton scattering\n	2.4. De Broglie’s hypothesis\n	2.5. Bohr’s model of the atom\n	2.6. Problems with old quantum theory\n	2.7. Exercises\n3. Quantum Mechanics\n	3.1. Schrodinger’s equation\n	3.2. Born’s postulate\n	3.3. Time-independent Schrodinger equation\n	3.4. Free particle\n	3.5. Observables and operators\n	3.6. The superposition principle\n	3.7. Expectation values\n	3.8. The uncertainty principle\n	3.9. Conceptual foundations of quantum mechanics\n	3.10. Observing the observer\n	3.11. Exercises\n4. Applications of Quantum Mechanics\n	4.1. Infinite square well\n	4.2. The quantum harmonic oscillator\n	4.3. Tunnelling\n	4.4. Reflection and transmission coefficients\n	4.5. Tunnelling in action\n	4.6. Two level systems\n	4.7. Cold matter\n	4.8. Exercises\n5. Schrodinger Equation in Three Dimensions\n	5.1. Three-dimensional box\n	5.2. Schrodinger equation in spherical coordinates\n	5.3. Separation of variables\n	5.4. The hydrogen atom\n	5.5. Radial probability densities\n	5.6. Exercises\n6. Spin and Statistics\n	6.1. Stern-Gerlach experiment\n	6.2. What is spin?\n	6.3. Symmetry of the wave function\n	6.4. Wave function for two identical particles\n	6.5. The Pauli Exclusion Principle\n	6.6. Spin states and spin functions\n	6.7. Bose–Einstein and Fermi–Dirac distributions\n	6.8. Exercises\n7. Atoms, Molecules and Lasers\n	7.1. Periodic table\n	7.2. Ionisation energies\n	7.3. Energy spectrum\n	7.4. Ionic bonding\n	7.5. Covalent bonding\n	7.6. Van der Waals force\n	7.7. Lasers\n	7.8. The lasing condition\n	7.9. Exercises\n8. Formal Structure of Quantum Mechanics\n	8.1. States and ensembles\n	8.2. Introduction to Dirac notation\n	8.3. Operators\n	8.4. Measurements\n	8.5. Postulates of quantum mechanics\n	8.6. Position and momentum operators\n	8.7. Position and momentum wave functions\n	8.8. Fourier transforms and the delta function\n	8.9. Position and momentum operators revisited\n	8.10. The Schrodinger equation revisited\n	8.11. The uncertainty principle revisited\n	8.12. Pure and mixed states\n	8.13. Annihilation and creation operators\n	8.14. The Mach–Zehnder interferometer\n	8.15. Perturbation theory\n	8.16. Exercises\n9. Second Revolution: Relativity\n	9.1. Simultaneity\n	9.2. Lorentz transformations\n	9.3. Length contraction\n	9.4. Time dilation\n	9.5. The twin paradox\n	9.6. Causality\n	9.7. E = Mc2\n	9.8. Relativistic Newton’s laws of motion\n	9.9. General relativity\n	9.10. Exercises\n10. Fine Structure of the Hydrogen Atom\n	10.1. Relativistic correction to the kinetic energy\n	10.2. Addition of angular momenta\n	10.3. Spin-orbit coupling\n	10.4. The Darwin term\n	10.5. Lamb shift\n	10.6. Hyperfine structure\n		10.6.1. Finite mass effects\n		10.6.2. Finite volume effects\n		10.6.3. Nuclear spin\n	10.7. Zeeman shift\n	10.8. Stark shift\n	10.9. Exercises\n11. Relativistic Quantum Mechanics\n	11.1. Why the need for relativistic quantum mechanics?\n	11.2. The Klein-Gordon equation\n	11.3. Negative probabilities\n	11.4. The Dirac equation\n	11.5. Quantum field theory\n	11.6. Example: Electron transport in a solid\n		11.6.1. Low temperature behaviour\n		11.6.2. High temperature behaviour\n	11.7. Outlook\n	11.8. Exercises\n12. Quantum Entanglement\n	12.1. What is entanglement?\n	12.2. Bell’s inequalities\n	12.3. Quantum teleportation\n	12.4. Why is entanglement necessary?\n	12.5. The non-increase of entanglement under local operations\n	12.6. Entanglement purification\n	12.7. Purification of pure states\n	12.8. Entanglement measures\n	12.9. Thermodynamics of entanglement\n	12.10. Quantum computing\n	12.11. Outlook\n	12.12. Exercises\n13. Solutions\n	13.1. Chapter 2\n	13.2. Chapter 3\n	13.3. Chapter 4\n	13.4. Chapter 5\n	13.5. Chapter 6\n	13.6. Chapter 7\n	13.7. Chapter 8\n	13.8. Chapter 9\n	13.9. Chapter 10\n	13.10. Chapter 11\n	13.11. Chapter 12\nBibliography