Representation of Lorentz Fields

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

Relativistic Charged Particle Dynamics

Covers the equation of motion for a relativistic charged particle and Lorentz transformations, along with tensors and electrodynamics.

Principle of Relativity: Inertia Frames and Coordinate Transformations

Covers Galileo's principle of relativity, inertia frames, and Lorentz transformations in electromagnetism.

Linear Transformations and Change of Bases

Covers linear transformations, change of bases, and diagonalization of matrices.

Symmetries of the Wave Equation

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

Lorentz Invariance: Velocities, Time Dilation, Length Contraction

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

Relativistic Equation of Motion

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

Consequences of Lorentz Transformations

Explores the consequences of Lorentz transformations in 1+1 dimensions for two observers and the implications on time and distance measurements.

Maxwell Equations and Minkowski Spacetime

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

Lorentz-Minkowski Spacetime

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