Master of Physics (MPhys)

MPhys Physics

Join a physics Department of international renown that offers great choice and flexibility, leading to master's qualification.

  • Duration: 4 years
  • Year of entry: 2025
  • UCAS course code: F305 / Institution code: M20
  • Key features:
  • Scholarships available
  • Accredited course

Full entry requirementsHow to apply

Fees and funding

Fees

Tuition fees for home students commencing their studies in September 2025 will be £9,535 per annum (subject to Parliamentary approval). Tuition fees for international students will be £36,500 per annum. For general information please see the undergraduate finance pages.

Policy on additional costs

All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).

Scholarships/sponsorships

The University of Manchester is committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability and we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.

For information about scholarships and bursaries please visit our undergraduate student finance pages and our Department funding pages .

Course unit details:
Introduction to Quantum Mechanics

Course unit fact file
Unit code PHYS20101
Credit rating 10
Unit level Level 2
Teaching period(s) Semester 1
Available as a free choice unit? No

Overview

Introduction to Quantum Mechanics

Pre/co-requisites

Unit title Unit code Requirement type Description
Mathematics 1 PHYS10071 Pre-Requisite Compulsory
Dynamics PHYS10101 Pre-Requisite Compulsory
Vibrations & Waves PHYS10302 Pre-Requisite Compulsory
Mathematics of Waves and Fields PHYS20171 Co-Requisite Recommended

Aims

To introduce the fundamental ideas of quantum mechanics that are needed to understand atomic physics.

Learning outcomes

On completion successful students will be able to:

  1. Understand how quantum states are described by wave functions.
  2. Deal with operators and solve eigenvalue problems in quantum mechanics.
  3. Solve the Schrodinger equation and describe the properties of the simple harmonic oscillator.
  4. Deal with algebra of angular momentum operators and solve the simple eigenvalue problems of an angular momentum in quantum mechanics.
  5. Use quantum mechanics to describe the hydrogen atom.
  6. Use quantum mechanics to describe the properties of one-electron at

Syllabus

Basic Elements of Quantum Mechanics

Time dependent Schrödinger equation and time evolution. (2 lectures)

Commutators and compatibility

Operators and quantum states, commutation relations and compatibility of different observables.

(2 lectures)

The Harmonic Oscillator

Stationary states, energy levels of simple harmonic oscillator, vibrational states of a diatomic molecule (2 lectures)

Orbital angular momentum

Particle in two dimensions (eigenfunctions and eigenvalues of Lz), particle in three dimensions (eigenfunctions and eigenvalues of L2 and Lz), rotational states of a diatomic molecule.

(4 lectures) 

     

Assessment methods

Method Weight
Other 10%
Written exam 90%

10% Tutorial Work/attendance 

Feedback methods

Feedback will be offered by tutors on students’ written solutions to weekly example sheets, and model answers will be issued.

Recommended reading

Phillips, A.C. Introduction to Quantum Mechanics (Wiley)
French, A.P. & Taylor, E.F. An Introduction to Quantum Physics (Thomas Nelson)

 

For general background reading:
ed. Manners, J. Quantum Physics: an Introduction (IOP in association with the Open University)

Study hours

Scheduled activity hours
Assessment written exam 1.5
Lectures 22
Tutorials 4
Independent study hours
Independent study 72.5

Teaching staff

Staff member Role
Thomas Elliott Unit coordinator
Anna Scaife Unit coordinator

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