Module Catalogues, Xi'an Jiaotong-Liverpool University   
 
Module Code: MTH311
Module Title: Quantum Mechanics
Module Level: Level 3
Module Credits: 5.00
Academic Year: 2019/20
Semester: SEM1
Originating Department: Mathematical Sciences
Pre-requisites: N/A
   
Aims
Quantum mechanics is a description of matter at atomic scales. It is one of the most far-reaching innovations of the last century and has elucidated the structure of molecules and the nature of light. Many high technology products, such as electronic devices, lasers and nanomaterials, have been developed using quantum concepts.


Quantum mechanics makes use of a probabilistic description of matter at small scales in place of the deterministic description of classical mechanics. The relevant mathematical framework represents physical quantities as operators on Hilbert spaces, which involves techniques from analysis and linear algebra.

Learning outcomes 
A. Solve the Schroedinger equation for simple systems and interpret the solution probabilistically.

B. Use Hilbert space setting to represent the state of a quantum system and represent physical quantities by operators.

C. Estimate the order of magnitude of quantum effects, and critically assess the validity of classical mechanics.

D. Construct simple quantitative models of technological applications of quantum mechanics.


Method of teaching and learning 
This module will be delivered by a combination of formal lectures and tutorials.
Syllabus 
Wave particle duality.


Schroedinger equation for simple one dimensional systems.


Hilbert spaces and matrix mechanics.


Angular momentum and the hydrogen atom.


Perturbation theory and the variational method.


Collapse of the wave function, Schroedinger’s cat and the EPR paradox.


Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 26    26      98  150 

Assessment

Sequence Method % of Final Mark
1 Class Test 10.00
2 Class Test 10.00
3 Final Exam 80.00

Module Catalogue generated from SITS CUT-OFF: 8/24/2019 3:39:34 PM