Lecture 4 YouTube

Figure 4.3 - Rotation

Figure 4.3 - Rotation

We derive the connection between symmetries and conservation laws, called Noether's Theorem, and introduce the concept of the Noether charge.

We then apply the theorem to general spatial translations and rotations, before looking at the case of time-translation symmetry, which leads to energy conservation, and the definition of the Hamiltonian.