Lectures related to Vector Fields and Lorentz Tensors: Representation Theory

Covers the most general representation of Lorentz group on spinorial fields.

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

Covers the representations of SU(2) and their transformations in quantum mechanics.

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

Covers EM Field and Discrete Symmetries, emphasizing the importance of symmetries in quantum field theory.

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

Explores fundamental cosmological puzzles related to dark matter and energy.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

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

Explores chirality, helicity, and spinors in Quantum Field Theory, focusing on normalization and completeness relations.

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

Explores the Lorentz transformation in Quantum Theory, emphasizing Fock space representation and momentum concepts.

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

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

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

Covers the Noether currents, Lorentz symmetry, and field quantization in quantum field theory.

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

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Covers gauge theories, modern particle physics, the standard model, and field content.