Objective
This proposal concerns the quantization of cat maps, a family of completely chaotic dynamical systems. The most important applications are to atomic and molecular physics/chemistry and to disordered mesoscopic systems. This topic is related to current European Community research programmes concerning nonlinear phenomena and complex systems. The aim of the project is to develop the investigations of these systems in two directions. The first one is to try to prove an analogue of the Sarnak conjecture for cat maps. This essentially means to verify that the maximum value taken by quantum eigenfunctions is O(h -E) as h to 0 for any positive E.
The second direction will be to quantize linear maps on 2n-dimensional tori with n > I and to study the semiclassical properties of their Anosov perturbations. The study of higher-order systems is only now being contemplated, and the cat maps and their perturbations provide the simplest models to work with.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences physical sciences molecular and chemical physics
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
BS8 1TW BRISTOL, CLIFTON
United Kingdom
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