Poincaré Group and Lorentz Subgroup

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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.