Lectures related to Lorentz Covariant Formulation: Maxwell Equations

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

Covers the covariant form of Maxwell equations and properties of the field strength tensor.

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

Lorentz Transformations and Covariant Tensors

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

Maxwell Equations and Minkowski Spacetime

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

Lorentz Invariance and Covariant Tensors

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

Covariant and Contravariant Tensors: Maxwell Field Strength

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

Charged Particle Trajectory in Electric Field

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

Electromagnetism Overview

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

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.

Electromagnetic Phenomena

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

Lorentz Transformations: Symmetries and Boosts

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

Cosmological Puzzles: Dark Matter and Energy

Explores fundamental cosmological puzzles related to dark matter and energy.

Covariant Derivatives and Christoffel Symbols

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

Christoffel Symbols and Gravity Before Einstein

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

Principle of Relativity: Inertia Frames and Coordinate Transformations

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

Electrodynamics: Coupling and Maxwell's Equations

Explores the coupling between electric and magnetic fields and Maxwell's equations in electrodynamics.

Linear Momentum Conservation and Stress in Continuum

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Planck Units and Lorentz Transformations

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

Advanced Physics I: Laws of Newton and Fundamental Forces

Explores Newton's laws, fundamental forces, and exercises on these topics.