Lectures related to Henri Poincaré

Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.

Poincare Inequality: Young the Quality on the Night

Covers mathematical estimations and algebraic identities in fully discrete problems.

Magnetic Scattering: Pairwise Little Group and Pairwise Helicity

Explores magnetic scattering, focusing on pairwise little group and helicity, constructing the S-matrix and analyzing multi-particle representations.

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Lorentz Transformations: Symmetries and Boosts

Explores Lorentz transformations, boosts, and symmetries in Newtonian mechanics.

Quantum Field Theory: Lecture 9

Covers relativistically normalized states, Lorentz invariance, and scalar field representations in quantum field theory.

Relativistic Equation of Motion

Explores spacetime structure, 4-vectors, Lorentz force, and dispersion relation in relativistic motion.

Circle Orthogonal & Poincaré Disk

Covers circle orthogonal and Poincaré disk concepts in geometry.

Symmetries and Groups in Quantum Mechanics

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

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Maxwell Equations and Minkowski Spacetime

Explores Maxwell equations, Minkowski spacetime, Lorentz transformations, charge conservation, and spacetime structure in physics.

Lie Groups: Representations and Transformations

Explores Lie groups, scalar fields, and vector spaces transformations.

Hamilton-Jacobi Equation: Phase Portrait Analysis

Explores the Hamilton-Jacobi equation and phase portrait analysis in one-dimensional systems, emphasizing the relationship between variables and system evolution.

Lie Theorems and Group Algebra

Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.

Poincaré Group and Lorentz Subgroup

Explores the Poincaré group and Lorentz subgroup in theoretical physics.

Renormalization Group in Field Theory

Explores the Renormalization Group in field theory, discussing scaling functions, critical exponents, and Gaussian fixed points.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations, focusing on vector fields, linear parts, and coordinate changes.

Lie Algebra Representation

Delves into Lie algebra representation and Lorentz subgroup concepts.

Nonlinear Phenomena in Physics

Explores Poincaré sections, chaos, and strange attractors in nonlinear physics.

Quantum Field Theory: Lorentz and Poincaré Groups Representations

Explores Lorentz and Poincaré groups representations, Poincaré algebra, and Lagrangians in Quantum Field Theory.