Wigner Theorem; Translation Symmetry

This lecture covers the Wigner theorem and translation symmetry in quantum physics. It explains symmetry operations, active and passive transformations, unitary and anti-unitary operators, and the conditions for symmetry. The lecture also delves into eigenstates, proof of eigenstates, and the most general conditions for symmetry. Additionally, it discusses the concept of wave functions, transformations of states, and the importance of understanding rotations in quantum physics.