Module Details
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title QUANTUM MECHANICS
Code MATH325
Coordinator Professor T Teubner
Mathematical Sciences
Thomas.Teubner@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2021-22 Level 6 FHEQ First Semester 15

Aims

The aim of the module is to lead the student to an understanding of the way that relatively simple mathematics (in modern terms) led Bohr, Einstein, Heisenberg and others to a radical change and improvement in our understanding of the microscopic world.


Learning Outcomes

(LO1) To be able to solve Schrodinger's equation for simple systems.

(LO2) To have an understanding of the significance of quantum mechanics for both elementary systems and the behaviour of matter.

(S1) Problem solving skills

(S2) Numeracy

Syllabus
 

- Wave particle duality.

- Schrodinger's equation for simple one dimensional systems.

- Finite-dimensional Hilbert space and matrix mechanics.

- Quantum Mechanics of Simple Harmonic Oscillation.

- Angular momentum and the hydrogen atom.

- Perturbation theory and the variational method.

- Collapse of the wave function, Schrodinger's cat and the EPR paradox.

Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
MATH101 CALCULUS I; MATH102 CALCULUS II; MATH122 NEWTONIAN MECHANICS; MATH103 INTRODUCTION TO LINEAR ALGEBRA 

Co-requisite modules:
 

Modules for which this module is a pre-requisite:
 

Programme(s) (including Year of Study) to which this module is available on a required basis:
 

Programme(s) (including Year of Study) to which this module is available on an optional basis:
 

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
final assessment on campus Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :First semester  60 minutes    50       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Class test remote  1 hour    30       
homework 1 week submission window  equivalent to 2-5 si    20