Representations of SU(2): Symmetries and Transformations

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

Covers the transformation of vectors and tensors in quantum physics.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

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

Covers constructing tensor products of representations, finding correct bases for matrices, and the importance of symmetry in physics problems.

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

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

Explores chemical environment representations, symmetrized correlations, and machine learning applications at the atomic scale.

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

Explores the interpretation of energy degeneracy, non-commutativity, spin operators, helicity, and discrete symmetries in the Dirac equation.