Objective
Geometric quantisation is a fundamental link between classical and quantum mechanics, and especially between the key roles of symmetry in these types of physics. It has been studied intensively since the 1980s, and has led to important new insights into the relation between classical and quantum mechanics, and the mathematics underlying these fields. However, the way geometric quantisation has been studied so far fundamentally only applies to classical phase spaces and symmetry groups that are compact. Compact sets are bounded and have other convenient properties that make geometric quantisation considerably easier to deal with, but preclude most applications in mathematics and physics.
A generalisation to the noncompact case would lead to a staggering potential for such applications, but also requires a completely new approach to the problem, as the techniques used traditionally become meaningless. There have been some first results using ad-hoc approaches that allow certain amounts of noncompactness, but none have the general and far-reaching applications that should be possible if a general theory of noncompact geometric quantisation is developed. This is exactly what I intend to do. The first steps taken have laid bare the challenges of noncompact geometric quantisation, and the time is now ripe to achieve ground-breaking results, using a completely new and general approach.
The key feature of this approach is the integration of the mathematical fields symplectic geometry (which describes classical mechanics), representation theory (which describes symmetry in quantum mechanics), and noncommutative geometry (which is a powerful tool for studying complex classical and quantum mechanical phase spaces). First results combining these fields indicate that this integration is extremely promising, and has attracted the interest of top researchers. The goal of this project is to fully exploit this link, thus obtaining exciting new applications in all three fields.
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 physical sciences quantum physics
- natural sciences physical sciences classical mechanics
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2011-IOF
See other projects for this call
Funding Scheme
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.
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
6525 XZ Nijmegen
Netherlands
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.