Lectures related to Lagrangian system

Covers the fundamentals of path integral and its applications in physical scenarios.

Lagrangian Formulation: Electrodynamics & Relativity

Covers the Lagrangian formulation of electrodynamics and relativistic particle mechanics.

Fermion Propagator: One-loop Structure of QED

Covers the one-loop structure of Quantum Electrodynamics (QED) focusing on the vertex and the one-loop structure of QED.

Constraint Formulation and Lagrangian Dual Optimum

Explains constraint formulation using Lagrangian and augmented Lagrangian functions.

Lagrangian Mechanics: Symmetries and Conservation Laws

Explores Lagrangian mechanics, symmetries, conservation laws, and the Hamiltonian concept.

Supersymmetry: Lagrangians and Renormalizable Theories

Covers the basics of supersymmetry, Lagrangians, and renormalizable theories.

Quantum Field Theory: SU(2) Symmetry and Noether's Current

Explores complex scalar fields under SU(2) symmetry and Noether's current computation.

Discrete Symmetries Introduction

Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.

Symmetry in Lagrangian Mechanics

Explores symmetry in Lagrangian mechanics and its impact on physical systems.

Dynamical Systems: Mathematical Modeling

Covers mathematical modeling of dynamical systems, focusing on electromechanical systems and DC servomotors.

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.