Lectures related to Quantum Field Theory: Poincaré Group

Symmetries and Groups in Quantum Mechanics

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

Lie Algebra of Lorentz Group

Covers the Lie algebra of the Lorentz group, focusing on boosts, rotations, and transformations.

Symmetry in Quantum Field Theory

Explores associativity, Lie algebra, Lie groups, relativity, and symmetry preservation in quantum field theory.

Lorentz Transformations: Symmetries and Boosts

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

General Fields: Lorentz Representations

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

Lie Groups: Representations and Transformations

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

Lorentz-Minkowski Spacetime

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

Special and General Relativity

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

Lie Algebra: Representations and Symmetry Groups

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Quantum Theory: Lorentz Transformation

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

EM Field: Discrete Symmetries

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

Lie Theorems and Group Algebra

Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.

Lie Algebra Representation

Delves into Lie algebra representation and Lorentz subgroup concepts.

Relativity Concepts: Understanding Lorentz Transformations

Covers the fundamental concepts of relativity, focusing on Lorentz transformations and their applications in measuring time and length in different reference frames.

Lie Algebra: Group Theory

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Relativity: Special Relativity Principles and Consequences

Explains the principles of special relativity, including time dilation, length contraction, and the Lorentz transformations.

Lorentz Transformations and Covariant Tensors

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

Tensors and Lorentz Transformations

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

Relativistic Quantum Mechanics

Explores special relativity, the Schrödinger and Dirac equations, antiparticles, and fermions' shortcomings.

Lie Algebra: Casimirs and Poincaré

Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.