Lectures related to Poincaré Group and Lorentz Subgroup

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.

Quantum Field Theory: Poincaré Group

Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.

Lorentz-Minkowski Spacetime

Covers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.

Relativistic Equation of Motion

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

Lorentz Transformations: Symmetries and Boosts

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

Maxwell Equations and Minkowski Spacetime

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

Quantum Field Theory: Lecture 9

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

Lie Algebra Representation

Delves into Lie algebra representation and Lorentz subgroup concepts.

Symmetries of the Wave Equation

Explores the symmetries of the wave equation and Lorentz boosts in relation to Galilean boosts.

Quantum Theory: Lorentz Transformation

Explores the Lorentz transformation in Quantum Theory, emphasizing Fock space representation and momentum concepts.

Quantum Field Theory: Lorentz and Poincaré Groups Representations

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

Lorentz Invariance: Velocities, Time Dilation, Length Contraction

Explores Lorentz invariance, covering velocities, time dilation, and length contraction, with implications for symmetries and physical interpretations.

Galilean Transformations: Spacetime and Measurements

Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.

Relativistic Formulation of Newtonian Mechanics

Explores the Lorentz covariant formulation of Newtonian mechanics, including 4-vectors and relativistic Newton's second law.

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Proper Time: Lorentz Transformations

Explores worldlines, Lorentz transformations, proper time intervals, and inertial reference frames in relativistic physics.

EM Field: Discrete Symmetries

Covers EM Field and Discrete Symmetries, emphasizing the importance of symmetries in quantum field theory.

Conservation Laws and Symmetries

Explores conservation laws and symmetries in physics, focusing on Lorentz invariance and its implications on energy and momentum.

Vector Fields and Lorentz Tensors: Representation Theory

Covers the transformation properties of vector fields and their representation in Lorentz tensors.

Quantum Field Theory: Noether Currents and Lorentz Symmetry

Covers the Noether currents, Lorentz symmetry, and field quantization in quantum field theory.