Quantum Mechanics III - MAT00002M

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  • Department: Mathematics
  • Module co-ordinator: Prof. Atsushi Higuchi
  • Credit value: 10 credits
  • Credit level: M
  • Academic year of delivery: 2019-20

Related modules

Pre-requisite modules

Co-requisite modules

  • None

Prohibited combinations

  • None

Module will run

Occurrence Teaching cycle
A Autumn Term 2019-20

Module aims

This module aims to develop students' knowledge of quantum mechanics and to provide a preparation for the study of quantum field theory and to develop further the formalism of quantum mechanics.

Module learning outcomes

At the end of the module you should be able to:

  • understand more of the formalism of quantum mechanics;

  • apply the formalism to the analysis of various quantum mechanical systems;

  • understand methods for approximate solutions of the time-independent Schrödinger equation;

  • understand time-dependent perturbation theory.

Module content

[Pre-requisite knowledge for MSc in Math Sciences: preparatory courses on quantum mechanics covering the Schroedinger equation, spherical harmonics and the quantum harmonic oscillator.]


The syllabus follows very close the text of Shankar (see Key texts below)

The formalism of quantum mechanics and symmetries in quantum mechanics (Ch 11, part of Ch 12)

  • Variational and WKB methods for approximate solutions of the time-independent Schrödinger equation (Ch 16)

  • Time-dependent perturbation theory (Ch 18)

  • Spin angular momentum (Ch 14)

  • Composite systems, identical particles (Ch 10)


Task Length % of module mark
University - closed examination
Quantum Mechanics III
2 hours 100

Special assessment rules



Task Length % of module mark
University - closed examination
Quantum Mechanics III
2 hours 100

Module feedback

Current Department policy on feedback is available in the undergraduate student handbook. Coursework and examinations will be marked and returned in accordance with this policy.

Indicative reading

R Shankar, Principles of Quantum Mechanics, Springer (U 0.123 SHA)

Other references are:

  • K Hannabuss, An Introduction to Quantum Theory, Oxford: Clarendon Press.

  • S Gasiorowicz, Quantum Physics (2nd ed.), Wiley (U 0.12 GAS).

  • C J Isham, Lectures on Quantum Theory: Mathematical and Structural Foundations, World Scientific (U 0.12 ISH).

  • E Merzbacher, Quantum Mechanics (2nd ed.), Wiley (U 0.123 MER).

  • A Sudbery, Quantum Mechanics and the Particles of Nature: An Outline for Mathematicians, Cambridge University Press (U 0.12 SUD).

  • L I Schiff, Quantum Mechanics, McGraw-HIll (U 0.123 SCH)

The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.