"Version: 20240801"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. The Larmor formula and a classical description of Thomson scattering -- 1.2. Elements of special relativity : inertial frames and Lorentz transformations -- 1.3. Relativistic kinematics and dynamics -- 1.4. The relativistic kinematics of Compton scattering -- 1.5. The kinematics of inverse Compton …
"Version: 20241101"--Title page verso.Includes bibliographical references.1. An introduction to high-intensity lasers and nonlinear quantum electrodynamics -- 1.1. Evolution of laser technology and the associated intensities -- 1.2. Going deeper into the fundamental role of the laser strength parameter -- 1.3. The phenomenology of the interaction between electrons/matter and a high-intensity la…
"Version: 20231001"--Title page verso.Includes bibliographical references.1. Classical mechanics and electromagnetism -- 1.1. Newtonian mechanics -- 1.2. Light and electromagnetism -- 1.3. Newtonian point particle solutions2. The origins of quantum mechanics -- 2.1. Blackbody radiation and Planck's constant -- 2.2. Light and photons -- 2.3. Electron diffraction and the de Broglie wavelength -- …
"Version: 202306"--Title page verso.Includes bibliographical references.part II. Quantum fault tolerance. 19. Quantum fault-tolerant circuits -- 19.1. The need for quantum fault-tolerant circuits -- 19.2. The fault-tolerant quantum adder -- 19.3. The fault-tolerant multiplier -- 19.4. The quantum fault-tolerant integer divider -- 19.5. Summarypart III. Quantum-dot cellular automata. 20. Quantum…
"Version: 20240901"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Elements of quantum theory -- 2.1. Reminders of linear algebra -- 2.2. Postulates of quantum theory3. Fundamentals of quantum walks -- 3.1. Quantum walks -- 3.2. Higher-dimensional spaces4. Continuous limits and plasticity in one dimension -- 4.1. Plastic quantum walk -- 4.2. Convergence -- 4.3. Disc…
"Version: 20250401"--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: 20250601"--Title page verso.Includes bibliographical references.12. The Wilson and functional renormalization group equations -- 12.1. Wilson renormalization group approach -- 12.2. The Wilson approximate recursion formulas -- 12.3. Generating functionals -- 12.4. The functional renormalization group -- 12.5. The vertex expansion approximation method for 04 -- 12.6. The gradient expan…
"Version: 20251101"--Title page verso.Includes bibliographical references.part I. Mathematical background. 1. Vectors and tensors -- 1.1. Introduction -- 1.2. Vector calculus -- 1.3. Generalization of matrices into tensors -- 1.4. Geometric algebra -- 1.5. Group theory2. Differential equations and the Lagrangian formalism -- 2.1. Differential equations -- 2.2. Differential equations with severa…
"Version: 20231101"--Title page verso.Includes bibliographical references.1. Introduction to the fundamental parts of modern physics -- 1.1. History of physics up to the establishment of Newtonian mechanics -- 1.2. Mystery of light -- 1.3. Theory of special relativity -- 1.4. Theory of general relativity -- 1.5. Quantum mechanics -- 1.6. Spin and relativistic quantum mechanics2. Recently solved…
"Version: 20250801"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. The Schr?odinger equation -- 1.2. Indistinguishable particles and the ground state -- 1.3. Solving quantum problems with Monte Carlo2. Variational Monte Carlo (VMC) -- 2.1. Spin in expectation values -- 2.2. The multielectron wave function -- 2.3. The Jastrow factor3. Principles of wave function op…