Discovery Projects - Grant ID: DP0450778

Funding Activity

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Funded Activity Summary

Mathematics of the quantum-classical mechanics interface. Nanotechnology focusses increasing attention on the interface between quantum and classical mechanics. Semiclassical approximations have long been studied, as a means to describe classical systems with 'small' actions as this interface is approached from the classical side. I have recently shown that classical mechanics can be formulated in complex Hilbert space, as a pseudo-quantum theory. This establishes a framework for the development of 'semiquantum' approximations, to enable the description of quantum systems with 'large' actions as the quantum-classical interface is approached from the quantum side. The project aims to explore some ramifications of this theoretical breakthrough.

Funded Activity Details

Start Date: 01-01-2004

End Date: 31-12-2007

Funding Scheme: Discovery Projects

Funding Amount: $150,000.00

Funder: Australian Research Council