Exact dynamics of the asymmetric exclusion process with boundaries. This project offers an opportunity for a postgraduate student to participate in world-class research. It further strengthens collaborative ties with the renowned department of theoretical physics at Oxford University. The outcomes of this project are expected to provide valuable fundamental information for any applied science in which transport plays a crucial role.
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 developme ....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.Read moreRead less
Algebraic invariants in mathematics and physics. This project is at the leading edge of fundamental mathematics and will result in important scientific advances that will keep Australia at the forefront internationally in this field of research. The topics under investigation are having high impact worldwide so there is an emphasis on international networking and on research training, particularly of research students. Australians would normally need to go to leading international centres such a ....Algebraic invariants in mathematics and physics. This project is at the leading edge of fundamental mathematics and will result in important scientific advances that will keep Australia at the forefront internationally in this field of research. The topics under investigation are having high impact worldwide so there is an emphasis on international networking and on research training, particularly of research students. Australians would normally need to go to leading international centres such as Paris to partake in projects of this nature. That high profile research of this kind can be done in Australia will enhance our capacity to retain scientific talent.Read moreRead less
Hecke algebras and hidden symmetries in quantum spin chains. This project further strenghtens collaborative ties with Prof. Rittenberg who is a leading figure in statistical mechanics. Rittenberg is Scientific Director of one of the best journals, and has been instrumental in advocating and advancing Australia's influence in the field. All this on top of his original scientific input which we have become used to in the past years.
Many-body problems. The discovery of new superheavy elements, chemical evolution of the Universe, nuclear reactions deep under the Coulomb barrier in nuclear reactors, in stars and during the Big Bang Nucleosynthesis, accuracy of precise atomic clocks, consistency of the Standard Model in strong fields are among the most vital problems of modern science. This project suggests several new ideas in these areas, which are based on knowledge accumulated in different research fields. The outcomes of ....Many-body problems. The discovery of new superheavy elements, chemical evolution of the Universe, nuclear reactions deep under the Coulomb barrier in nuclear reactors, in stars and during the Big Bang Nucleosynthesis, accuracy of precise atomic clocks, consistency of the Standard Model in strong fields are among the most vital problems of modern science. This project suggests several new ideas in these areas, which are based on knowledge accumulated in different research fields. The outcomes of the research will help Australia to build up a "critical mass" of scientific expertise, which is necessary to place and keep it among leaders in these frontier areas of physics, and to train the next generation of experts in these fields.Read moreRead less
Quantum and Geometric Aspects of Gauge Theories, Supergravity and String Theory. A central problem of modern high-energy physics is the unification of gravity with the other fundamental interactions that is consistent at the quantum level. Led by a team of internationally recognized experts, this project will yield breakthroughs in supergravity and string theory - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, ....Quantum and Geometric Aspects of Gauge Theories, Supergravity and String Theory. A central problem of modern high-energy physics is the unification of gravity with the other fundamental interactions that is consistent at the quantum level. Led by a team of internationally recognized experts, this project will yield breakthroughs in supergravity and string theory - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, a fertile environment will be provided for the training of graduate students. They will be ideally placed to lead Australia's involvement in the revolution sparked by the expected experimental confirmation of supersymmetry with the Large Hadron Collider. Read moreRead less
Progress in Supersymmetry and Supergravity: Continuing Einstein's Legacy. 2005 is the International Year of Physics in recognition of Einstein's revolutionary contributions. His unfinished quest for a unified description of Nature has become the hottest topic in modern physics. Led by a team of internationally recognized experts, this project will yield breakthroughs in supersymmetry and supergravity - crucial ingredients of current approaches to unification. As well as putting Australia at the ....Progress in Supersymmetry and Supergravity: Continuing Einstein's Legacy. 2005 is the International Year of Physics in recognition of Einstein's revolutionary contributions. His unfinished quest for a unified description of Nature has become the hottest topic in modern physics. Led by a team of internationally recognized experts, this project will yield breakthroughs in supersymmetry and supergravity - crucial ingredients of current approaches to unification. As well as putting Australia at the forefront of this mainstream activity, a fertile environment will be provided for the training of graduate students. They will be ideally placed to lead Australia's involvement in the revolution sparked by the expected experimental confirmation of supersymmetry with the next generation of particle accelerators.Read moreRead less
Low Energy Effective Actions in Supersymmetric Gauge Theories. The quest for a unified quantum theory of all the fundamental interactions of Nature, including gravity, is a major goal of modern physics. Superstring theory is at present the only plausible candidate. This theory makes nontrivial predictions (non-renormalization theorems) about the low energy structure of certain supersymmetric gauge theories (the Standard Model of particle physics is a special gauge theory). This project will deve ....Low Energy Effective Actions in Supersymmetric Gauge Theories. The quest for a unified quantum theory of all the fundamental interactions of Nature, including gravity, is a major goal of modern physics. Superstring theory is at present the only plausible candidate. This theory makes nontrivial predictions (non-renormalization theorems) about the low energy structure of certain supersymmetric gauge theories (the Standard Model of particle physics is a special gauge theory). This project will develop new tools for the computation of low energy effective actions, which will then be used for a detailed analysis of the non-renormalization theorems governing the low energy dynamics of supersymmetric gauge theories. This research is at the forefront of modern particle physics.Read moreRead less
Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information. Quantum integrable systems have produced exciting results and techniques vital in the efforts to achieve the ultimate goal of understanding quantum science beyond perturbation. The proposal gathers four world experts from Australia, Japan and Russia to work on highly interdisciplinary projects designed to resolve fundamental problems in the field, which will underpin the development of emerging technologie ....Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information. Quantum integrable systems have produced exciting results and techniques vital in the efforts to achieve the ultimate goal of understanding quantum science beyond perturbation. The proposal gathers four world experts from Australia, Japan and Russia to work on highly interdisciplinary projects designed to resolve fundamental problems in the field, which will underpin the development of emerging technologies. As a result, Australian science will be seen to be at the forefront internationally, and the leading status of Australia in the field will be greatly strengthened. Early career researchers and PhD students will be trained as part of the project, important in enhancing Australia's capability to develop and retain scientific talent. Read moreRead less
ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions i ....ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions in science. An essential function of the network will be introducing researchers end users to new tools and broadening the horizons of graduate students.Read moreRead less