Quantum Mechanics I module (PH31005)

Quantum mechanics is one of the most exciting and revolutionary ideas in physics. It describes a world where particles can behave like waves, exist in multiple states at once, and where simply measuring something can change what happens. In this module, you will uncover the theory that explains how atoms, light, and the building blocks of the universe really behave.

You will begin by developing the core ideas of quantum mechanics, learning how to use the Schrödinger equation to describe physical systems and predict experimental outcomes. You will explore concepts such as wavefunctions, uncertainty, and quantisation, and see how they explain phenomena that have no equivalent in everyday experience, including quantum tunnelling.

As you progress, you will apply these ideas to real physical systems. You will study atoms in three dimensions, uncover how electrons behave, and explore how properties like angular momentum and spin arise. These concepts allow you to understand atomic structure, the origin of spectral lines, and how atoms interact to form molecules.

By the end of this module, you will see how a single powerful theory can explain everything from simple model systems to the structure of atoms and molecules, forming the foundation of technologies such as lasers, semiconductors, and quantum devices.

What you will learn

In this module, you will:

• study the postulates and mathematical framework of quantum mechanics
• learn how to use the Schrödinger equation to describe physical systems
• explore wavefunctions, probability, uncertainty, and measurement
• solve one-dimensional quantum systems, including potential wells and tunnelling
• investigate stationary and non-stationary states and expectation values
• extend quantum mechanics to three-dimensional systems, including the hydrogen atom
• study angular momentum, including orbital and spin
• explore multi-electron atoms, identical particles, and the Pauli exclusion principle

By the end of this module, you will be able to:

• solve the Schrödinger equation for a range of quantum systems
• interpret the wavefunction and calculate physical quantities such as uncertainties
• describe and analyse quantum systems in one and three dimensions
• explain angular momentum, spin, and atomic structure

Assignments / assessment

• coursework (20%)
• final written exam (80%)

Teaching methods / timetable

You will learn through lectures and interactive problem-solving workshops.