Physics Education Centre

# Potential summer scholars research projects

The Research School of Physics & Engineering performs research at the cutting edge of a wide range of disciplines.

By undertaking your own research project at RSPE you could open up an exciting career in science.

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## Theoretical Physics

### Introduction to quantum integrable systems

The aim of this project is to introduce quantum integrable systems which play a very important role in modern theoretical physics. Such systems provide one of very few ways to analyze nonlinear effects in continuous and discrete quantum systems.

### New trends in separation of variables

A separation of variables is a standard technique in classical mechanics which allows to reduce a complicated dynamics with many degrees of freedom to a set of one-dimensional problems. Surprisingly this method finds its natural generalization in the theory of quantum integrable systems. This project aims to study such systems and apply results to the theory of special functions in one and several variables.

### Stochastic dynamics of interacting systems and integrability

There are many interesting physical statistical systems which never reach thermal equilibrium. Examples include surface growth, diffusion processes or traffic flow. In the absence of general theory of such systems a study of particular models plays a very important role. Integrable systems provide examples of such systems where one can analyze time dynamics using analytic methods.

*Other research projects may be found at the ANU College of Engineering & Computer Science and the Research School of Astronomy & Astrophysics*