Lectures related to Quantum Field Theory: AQFT

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

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

Covers the concept of 2D rotations and their analytical expressions.

Covers the quantization of spin in Quantum Field Theory, focusing on induced representations and unitary irreps.

Covers the states of composite systems in Hilbert space, including operators, observables, tensor products, eigenvalues, and partial measurements.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Covers the transformation properties of vector fields and their representation in Lorentz tensors.

Covers angular momentum in rotations, including preservation of angles and vector products.

Explores orbital angular momentum in quantum mechanics, including rotation operators and eigenvalues.

Explores the behavior of a particle in a central potential and its invariance under rotations.

Explores quantum sensing, rotations, and coherent states in the context of two-level systems, the Bloch Sphere, and Rabi oscillations.

Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.

Covers the concept of discrete symmetries, focusing on the introduction to asymptotic states and S-matrix.

Covers the preservation of isometry by rotations and symmetries.