QUANTUM MECHANICS - 2017/8

Module code: MAT3039

Module provider

Mathematics

Module Leader

TORRIELLI A Dr (Maths)

Number of Credits

15

ECT Credits

7.5

Framework

FHEQ Level 6

JACs code

G121

Module cap (Maximum number of students)

N/A

Module Availability

Semester 1

Overall student workload

Lecture Hours: 35

Assessment pattern

Assessment type Unit of assessment Weighting
Examination EXAMINATION 80
School-timetabled exam/test IN-SEMESTER TEST 20

Alternative Assessment

N/A

Prerequisites / Co-requisites

MAT1036 Classical Dynamics.  You CANNOT take PHY3044. 

Module overview

This module introduces the basic concepts and techniques of Quantum Mechanics. 

Module aims

Introduce students to the mathematical description of quantum phenomena.

Enable students to understand the postulates of quantum mechanics and their applications to the physical world.

Illustrate the application of the theory of quantum mechanics to simple examples (particles in one-dimension, spin systems)    

Learning outcomes

Attributes Developed
Have a firm understanding of the concepts, theorems and techniques of the quantum theory.
Have a clear understanding of how to apply the mathematical techniques to concrete physical examples(tunnelling effect, Stern-Gerlach experiment, nuclear magnetic resonance).
Be able to explicitly derive the quantisation rules of simple toy-model systems.

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

Module content

Topics covered will include some or all of:


Crucial experiments and birth of quantum mechanics.
Hilbert spaces and Dirac notation.
Postulates of quantum mechanics, uncertainty principle, wave functions. 
Hamiltonian and its spectrum, Schroedinger equation, observables.
Examples: Particle in a well, tunneling effect, harmonic oscillator.
Advanced topics: Angular momentum and their addition rules, spin, exclusion principle.
Advanced Applications: Hydrogen Atom, perturbation theory and level-splitting.   

Methods of Teaching / Learning

The learning and teaching strategy is designed to provide:


A detailed introduction to the relevant theory and its tenets, and to the appropriate mathematical tools for their implementation
Experience (through demonstration) of the methods used to interpret, understand and solve concrete problems, especially for simple toy-model examples


The learning and teaching methods include:


3 x 1 hour lectures per week x 11 weeks, with black/whiteboard written notes to supplement the module notes and Q + A opportunities for students.


 

Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate:

·         Understanding of and ability to interpret and manipulate mathematical statements. 

·         Subject knowledge through the recall of key postulates, theorems and their proofs.

·         Analytical ability through the solution of unseen problems in the test and exam.

 

Thus, the summative assessment for this module consists of:

·     One two-hour examination (three out of four best answers contribute to the exam mark) at the end of the Semester; worth 80% of the module mark.

·     One in-semester test; worth 20% of the module mark.

 

Formative assessment and feedback

 

Students receive written feedback via a number of un-assessed coursework assignments over the 11-week period.  Students are then encouraged to arrange meetings with the module convener for verbal feedback. 

Reading list

Reading list for QUANTUM MECHANICS : http://aspire.surrey.ac.uk/modules/mat3039

Programmes this module appears in

Programme Semester Classification Qualifying conditions
Mathematics with Statistics BSc (Hons) 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics BSc (Hons) 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics MMath 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics and Physics BSc (Hons) 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics MSc 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics and Physics MMath/MPhys 1 Optional A weighted aggregate mark of 40% is required to pass the module

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2017/8 academic year.