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Relativistic Larmor Formula: Lagrangian for Electrodynamics
Covers the relativistic Larmor formula, synchrotron radiation, and Lagrangian for electrodynamics.
Quantum Field Theory: Conservation Laws
Explores deriving conserved currents in classical and quantum field theory, emphasizing symmetries and equations of motion.
Quantum Field Theory: Lorentz and Poincaré Groups Representations
Explores Lorentz and Poincaré groups representations, Poincaré algebra, and Lagrangians in Quantum Field Theory.
Encoder for Force and Vision in Manipulation
Explores combining force and vision for efficient manipulation tasks using a lower dimensional representation.
Kernel SVM: Polynomial Expansion & Cover's Theorem
Explores polynomial expansion, high-dimensional spaces, Cover's Theorem, Lagrangian formulation, and practical SVM applications.
Quantum Field Theory: Heisenberg Representation and Noether Charges
Explores the Heisenberg representation of a free massive real scalar field and the time independence of Noether charges.
Classical Field Theory: Lagrangian and Hamiltonian Formulation
Explores classical field theory, focusing on Lagrangian formulation and the Euler-Lagrange equations, emphasizing the property of locality in spacetime.
Symmetry and Conservation Laws
Explores symmetry, Noether's theorem, and conservation laws in physics, emphasizing the role of time and the Hamiltonian.
Elasticity: Hooke's Law
Discusses Hooke's Law, elasticity tensor, and symmetry in homogeneous isotropic solids.
Non-linear dynamics: phenomenology, tools and methods
Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.