The University of Southampton

PHYS6003 Advanced Quantum Physics

Module Overview

This course will cover advanced topics of quantum mechanics including postulates of quantum mechanics, tools of quantum mechanics, Dirac notation, Simple Harmonic oscillator (studied using raising and lowering operators), orbital and spin angular momentum (studied using raising and lowering operators), Non-locality and the Bell inequalities, Quantum cryptography (distributing secure keys), and the basic ideas of Quantum computing (qubits, quantum teleportation)

Aims and Objectives

Module Aims

The aim of this course is to consolidate and extend your knowledge of quantum mechanics by introducing more theoretical tools and some more advanced applications.

Learning Outcomes

Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

  • Be able to work with operators and states using Dirac's bra and ket notation
  • Study the simple harmonic oscillator using raising and lowering operators
  • Understand quantum angular momentum, including spin, and analyse it using raising and lowering operators
  • Understand non-locality and the Bell inequalities, and apply the concepts to cryptographic key exchange
  • Understand qubits and some basic ideas in quantum computation


- Postulates of quantum mechanics - Tools of quantum mechanics (vector spaces, operators and states) - Dirac notation - Simple Harmonic oscillator (studied using raising and lowering operators) - Orbital and spin angular momentum (studied using raising and lowering operators) - Adding angular momenta - Non-locality and the Bell inequalities - Quantum cryptography (distributing secure keys) - Basic ideas of Quantum computing (qubits, quantum teleportation)

Learning and Teaching

Completion of assessment task7
Follow-up work18
Preparation for scheduled sessions18
Wider reading or practice61
Total study time150

Resources & Reading list

JJ Sakurai (1994). Modern Quantum Mechanics. 

RP Feynman et al (1970). Feynman Lectures on Physics. 

S Gasiorowicz (1996). Quantum Physics. 

R Shankar (1994). Principles of Quantum Mechanics. 


Assessment Strategy

Four problem sheets will be set, with the best two being counted. In an instance where a student may miss submitting one or two problem sheets, those sheets will not be counted. Students will however, still be required to submit Self Certification forms on time for all excused absences, as you may ultimately end up missing 3+ problem sheets through illness, let’s say. The submitted Self Certification forms may be considered as evidence for potential Special Considerations requests. In the event that a third (or higher) problem sheet is missed, students will be required to go through the Special Considerations procedures in order to request mitigation for that problem sheet. Please note that documentary evidence will normally be required before these can be considered


MethodPercentage contribution
Examination  (2 hours) 90%
Problem Sheets 10%


MethodPercentage contribution
Coursework marks carried forward %
Examination %

Repeat Information

Repeat type: Internal & External

Linked modules

Pre-requisites: PHYS3002 AND PHYS3004 AND PHYS3007 AND PHYS3008

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