Lectures related to Energy Momentum Tensor: Derivation and Conservation

Covers the derivation of Einstein equations and the Schwarzschild metric.

Covariant Derivatives and Christoffel Symbols

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

Quantum Field Theory II: Maxwell Field and Symmetries

Covers the Maxwell field, symmetries, and making shifts in local and covariant derivatives.

Electromagnetic Waves: Energy and Momentum

Discusses the energy, momentum, and generation of electromagnetic waves, along with their applications in optics and radiation pressure.

Christoffel Symbols and Gravity Before Einstein

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

Geodesics in Schwarzschild Spacetime

Explores geodesics in Schwarzschild spacetime, circular orbits, and the perihelion advance in General Relativity.

Stress Components & Transformation of Tensors

Covers stress components, tensor transformation, and invariants in continuum mechanics.

General Relativity: Energy-Momentum Tensor

Covers the Schwarzschild solution, the cosmological constant, and General Relativity as an Effective Field Theory.

Conservation of Momentum and Electromagnetic Fields

Covers conservation of momentum, electromagnetic fields, relativistic energy-momentum, intensity definitions, and practical examples of solar emissions.

Harmonic Oscillator

Explores the harmonic oscillator, covering energy functions, equations of motion, and operator constructions.

Covariant Maxwell Equations

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

Scalar, Vector or Tensor? Gravity

Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.

Hodge Duality and Covariant Derivatives

Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

Quantum Field Theory II: EM Field and Particle States

Covers the EM field and particle states in quantum field theory.

Kruskal Coordinates: Schwarzschild Black Holes

Explores Kruskal coordinates and Schwarzschild black holes in General Relativity, including Einstein equations and cosmological constants.

Electromagnetism Revision Session

Revisits electromagnetism concepts, including divergence, curl, and induction laws, to prepare students for exams.

Charged Particle in Magnetic Field: Landau Levels

Explores charged particles in a magnetic field, focusing on Landau levels and translation generators.

Advanced Physics I: Kinematics and Vectors

Covers kinematics, vectors, and electromagnetic fields in advanced physics.

Electromagnetic Fields in Medium

Explores electromagnetic fields in a medium, focusing on macroscopic and microscopic fields and their sources.

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.