Lecture 4 YouTube

We generalise the definition of spin operators of a single electron in the three spatial directions to a spin in any direction.

Figure 4.2 - Probability function

Figure 4.2 - Probability function

We discuss the nature of measurement in quantum mechanics, in comparison to classical mechanics, and consider measurements that can or cannot be made simultaneously.

We then summarise the properties of the single-electron spin operators, before moving on to a two electron configuration. This will require the definition of a new vector space, namely the space of tensor products of single states.

Finally, we define new product spin operators, that act on a pair of electrons.