Lectures related to Spinorial Fields: Lorentz Group Representation

Delves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.

Covers the preservation of isometry by rotations and symmetries.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers symmetry operations in materials science, including rotations and helical axes.

Explores chirality, elicity, and Lorentz invariance in the Dirac equation.

Explores the symmetries of the wave equation under Lorentz transformations and the Poincare group.

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

Covers the concepts of cross section and lifetime in quantum fluids, focusing on transition and differential probabilities.