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

### 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.

### 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.

### Soft Condensed Matter: Molecules made by Threading

Of great recent interest is the subject of rotaxanes. Rotaxanes are molecules where one or more ring

components is threaded onto an axle that is capped on both ends with stoppers to prevent the rings from

falling off. These systems exhibit complex and fascinating physics.

components is threaded onto an axle that is capped on both ends with stoppers to prevent the rings from

falling off. These systems exhibit complex and fascinating physics.

### 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.

### Nuclear models in nuclear structure and reactions

Nuclei are complex quantum systems and thus require advanced modelling to understand their structure properties. This project uses such models to interpret experimental data taken at the ANU and at overseas nuclear facilities.

Dr Edward Simpson, Professor Andrew Stuchbery, Dr Cédric Simenel

### Nuclear magnetism - magnetic moment measurements

A novel technique devised at ANU has recently given a breakthrough in the precision with which the magnetic moments of picosecond-lived excited states in sd-shell nuclei (i.e. isotopes of oxygen through to calcium) may be measured. A sequence of precise measurements will be performed to comprehensively test the shell model.

Professor Andrew Stuchbery, Dr Tibor Kibedi, Dr Gregory Lane, Mr Brendan McCormick

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