Modelling Quantum Many-Body Systems (7CCPNE05M)
Science & Engineering
Course Overview
This module provides an introduction to the theory and applications of quantum many-body systems. It will focus primarily on systems at or close to equilibrium, with a view towards non-equilibrium quantum systems.
29 September 2025 - 19 December 2025
Places: Available
Delivery mode: In person
Application deadline: 11 August 2025
Places: Available
Course features
Topics include:
- Harmonic oscillators
- Second quantization for bosons and fermions
- Model Hamiltonians
- Collective excitations
- Correlation functions
- Path integrals
- Links to statistical mechanics.
Learning outcomes
By the end of the module, you will:
- Have a deep and systematic understanding of the basic theoretical approaches to modelling quantum many-body systems
- Be equipped to engage with research-based knowledge in this field
- Have a comprehensive understanding of the basic techniques and methodology for treating quantum many-body systems, including harmonic oscillators, second quantization for bosons and fermions, model Hamiltonians, collective excitations, correlation functions, path integrals and links to statistical mechanics
- Be able, with critical awareness, to undertake analysis of complex areas of knowledge related to quantum many-body systems and communicate the outcome of such analysis effectively
- Be able to synthesize information in a manner that may be innovative, utilizing knowledge and techniques from the forefront of research
- Be able to use full range of learning resources and undertake innovative research tasks competently with some guidance
- Become an independent and self-critical learner, able to communicate topics of quantum many-body systems clearly and effectively to specialists/non-specialists and manage your own continuing professional development
- Be able to critically use the learned techniques to analyse and comprehend quantum many-body systems
- Be able to operate in complex and specialized contexts that may be at the forefront of knowledge.

Entry Requirements
- A 2:2 honours degree or international equivalent in Physics: Quantum mechanics
- A CV and personal statement outlining your reasons for study
- English language band D (for example, IELTS 6.5 overall with a minimum of 6.0 in each skill).
Assessment
You will be assessed via an examination.
Further information
This is an on-campus module. Lectures will be held on a single day of the week, each week, during term time. You will be expected to be on-campus for these. Exact dates and times will be confirmed upon enrolment.
Course code:
7CCPNE05M
Credit level:
7
Credit value:
15
Duration:
11 weeks
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