Lectures related to Covariant Maxwell Equations

Lorentz Covariant Formulation: Maxwell Equations

Covers Lorentz transformations, Maxwell equations, and charge conservation in Lorentz invariant physics.

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Covariant and Contravariant Tensors: Maxwell Field Strength

Explores contravariant and covariant tensors, Maxwell field strength, and Lorentz invariance in linear transformations and metric properties.

Tensors and Lorentz Transformations

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.

Lorentz Invariance and Covariant Tensors

Explores Lorentz invariance, tensors in vector spaces, and electromagnetic potentials.

Lorentz Transformations and Covariant Tensors

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Covariant Derivatives and Christoffel Symbols

Covers accelerated and inertial coordinate systems, Jacobian, volume elements, covariant derivatives, Christoffel symbols, Lorentz case, and metric tensor properties.

Maxwell Equations and Minkowski Spacetime

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

Relativistic Motion of Charged Particles

Explores the relativistic motion of charged particles in electric fields, focusing on Lorentz covariant electrodynamics and the relativistic Larmor power.

Cosmological Puzzles: Dark Matter and Energy

Explores fundamental cosmological puzzles related to dark matter and energy.

Electromagnetism Overview

Covers the electromagnetic force, Maxwell equations, and classical dynamics of electromagnetic fields.

Charged Particle Trajectory in Electric Field

Explores the Lorentz covariant formulation of electrodynamics and the trajectory of a charged particle in an electric field.

Understanding Displacement Vector and Plane Waves

Explores the displacement vector D, plane waves, and magnetic vector potential, addressing student questions and clarifying key concepts.

Christoffel Symbols and Gravity Before Einstein

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.

Planck Units and Lorentz Transformations

Explores Planck units, Klein-Gordon equation, Lorentz transformations, and Maxwell equations' invariance.

Special Relativity

Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.

Maxwell's Equations: Derivation and Implications

Explores the derivation and implications of the 4th Maxwell's equation, emphasizing the importance of charge conservation and the role of displacement current.

Magnetostatics: Magnetic Field and Force

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Electromagnetic Phenomena

Introduces the importance of studying electromagnetic phenomena and Maxwell's equations.

Magnetostatics: B/E Relation and Vector Potential

Discusses the magnetic field induced by a moving charge and the vector potential of a magnetic field, along with Maxwell's equations and the Poisson equations.