Discovery Projects - Grant ID: DP190101529

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP190101529

Funding Status
Active

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Funded Activity Summary

From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models such as superintegrable systems, quantum spin chains, and spin-boson models. Anticipated applications of the proposed research include the accurate prediction of physical phenomena, from energy spectra to quantum correlations. Such advances should have significant ramifications, and provide benefits, well beyond the mathematical discipline itself.

Funded Activity Details

Start Date: 04-2019

End Date: 12-2024

Funding Scheme: Discovery Projects

Funding Amount: $400,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Integrable Systems (Classical and Quantum) | Algebraic Structures in Mathematical Physics | Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory | Mathematical Physics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

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