"Version: 20190501"--Title page verso.Includes bibliographical references.1. Relativistic quantum mechanics -- 1.1. The rotation groups SO(3) and SO(n) -- 1.2. Special relativity -- 1.3. Klein-Gordon equation -- 1.4. Dirac equation -- 1.5. Free solutions of the Dirac equation -- 1.6. Lorentz covariance : first look -- 1.7. Representations of the Lorentz group -- 1.8. Exercises -- 1.9. Solutions…
"Version: 20190501"--Title page verso.Includes bibliographical references.9. Standard model -- 9.1. Elements of phenomenology -- 9.2. The standard model -- 9.3. Exercises10. Introduction to lattice field theory -- 10.1. The lattice [phi]2 -- 10.2. Fermions on the lattice -- 10.3. Gauge fields on the lattice -- 10.4. Quenched quantum electrodynamics on the lattice11. The Wilson and functional re…
"Version: 20171101"--Title page verso.Includes bibliographical references (pages 14-15).Quantum computer technology is progressing rapidly with dozens of qubits and hundreds of quantum logic gates now possible. Although current quantum computer technology is distant from being able to solve computational problems beyond the reach of non-quantum computers, experiments have progressed well beyond…
"Version: 20181101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Classical mechanics -- 1.2. Rise of quantum mechanics -- 1.3. Eugene Wigner -- 1.4. Modern devices and simulation -- 1.5. Our approach2. Approaches to quantum transport -- 2.1. Modes and the Landauer formula -- 2.2. The scattering matrix approach -- 2.3. The density matrix -- 2.4. Green's functions…
"Version: 20180301"--Title page verso.Includes bibliographical references (page 17).1. Introduction -- 2. Background -- Discovery of the concept of antimatter -- CPT symmetry -- Antihydrogen formation processes -- 3. Current directions -- Antihydrogen beam with a cusp trap via three-body recombination -- Preparation of cold antiprotons and cold positrons -- Pulsed antihydrogen beam : the AEgIS …
"Version: 20210201"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Goals of the lecture notes -- 1.2. Classical electrodynamics and its symmetries -- 1.3. Field quantization -- 1.4. The need for discreteness in quantum computing -- 1.5. Symmetries and predictive models2. Classical field theory -- 2.1. Classical action, equations of motion and symmetries -- 2.2. Tr…
"Version: 20200901"--Title page verso.Includes bibliographical references.Preface : why you should read this book -- 1. Quantum theory -- 1.1. Basic notions -- 1.2. Non-relativistic quantum theory -- 1.3. Exploiting quantum theory embedded in classical gravity -- 1.4. Special relativity -- 1.5. Dirac relativistic spinor theory -- 1.6. von Neumann algebras -- 1.7. A higher level of abstraction :…
"Version: 20240101"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Discovery of quantum optics -- 2.1. Optics timeline : from corpuscles and waves to photons -- 2.2. Classical, semi-classical or quantum? -- 2.3. From radio frequency electromagnetic fields controlling quantum systems to quantum optics and back3. What is quantum in quantum optics? -- 3.1. Einstein's i…
"Version: 20200501"--Title page verso.Includes bibliographical references.part I. Quantum logic. 1. Quantum logic -- 1.1. Overview -- 1.2. Motivations towards quantum computing -- 1.3. The relationship between reversible and quantum logic -- 1.4. Quantum computers -- 1.5. The working principles of quantum computers -- 1.6. The evolution of quantum computers -- 1.7. Why pursue quantum computing?…
"Version: 20200701"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Classical nature of light -- 2.1. Electromagnetic waves -- 2.2. Polarization -- 2.3. Experimental explorations3. Quantum nature of light -- 3.1. Quantum mechanical states -- 3.2. Qubits -- 3.3. Transforming quantum states -- 3.4. Measuring quantum states -- 3.5. Composite systems and entangled states…