Note: This is an archived Handbook entry from 2014.
|Dates & Locations:|| |
This subject is not offered in 2014.
|Time Commitment:||Contact Hours: 36 hours comprising two 1-hour lectures and one 1-hour practice class per week |
Total Time Commitment:
3 contact hours and 7 hours private study per week.
The following subject, or equivalent:
Study Period Commencement:
Semester 1, Semester 2
|Recommended Background Knowledge:|| |
It is recommended that students have completed the following subject, or equivalent:
Study Period Commencement:
Summer Term, Semester 1, Semester 2
No prior knowledge of physics is assumed.
|Non Allowed Subjects:|| |
No disallowed subject combinations among new-generation subjects
|Core Participation Requirements:||
For the purposes of considering requests for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements for this entry.
The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/
Assoc Prof Jan de Gier
Prof Peter Forrester
In mathematical physics, a wealth of information comes from the exact, non-perturbative, solution of quantum models in one-dimension and classical models in two-dimensions. This subject is an introduction into Yang-Baxter and Bethe Ansatz integrability, and the orthogonal polynomial method of random matrix theory. Transfer matrices, Yang-Baxter equation and Bethe ansatz are developed in the context of the 6-vertex model, quantum spin chains and other examples. As a solvable model, random matrix theory aims to first identify the explicit eigenvalue distributions for a given matrix distribution. The method of orthogonal polynomials is then used to compute eigenvalue correlation functions that can be compared against (numerical) experiments.
After completing this subject students should:
Up to 40 pages of written assignments (40%: two assignments worth 20% each, due mid and late in semester), a 3-hour written examination (60%, in the examination period).
|Prescribed Texts:|| |
|Recommended Texts:|| |
R.J. Baxter, Exactly Solved Models in Statistical Mechanics, Dover (2007).
|Breadth Options:|| |
This subject is not available as a breadth subject.
|Fees Information:||Subject EFTSL, Level, Discipline & Census Date|
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
Master of Philosophy - Engineering |
Master of Science (Mathematics and Statistics)
Mathematics and Statistics |
Download PDF version.