This page, which will be updated occasionally, summarises important results and useful formulae for the Part IB Quantum Mechanics course.

Vector spaces, inner products and duality

Let $V$ be an inner product space over $\mathbb{C}$.

We use ket notation for vectors: $|\psi\rangle \in V$

The inner product between …

In the previous post I discussed how, when measuring the frequency (tempo) of a signal that itself changes in time, there is necessarily a tradeoff between the precision in the measured frequency and precision in the time at which the measurement is taken: A more precise measurement of frequency requires …

Most people are introduced to the term 'uncertainty principle' in the context of quantum mechanics. It is usually described as the idea that a particle's position and momentum cannot be simultaneously measured to arbitrary precision, but that improved precision in one must be traded off against increased uncertainty in the …