Objective
The aim of this project is to develop and apply efficient mathematical tools for studying quantum and classical phenomena in a discrete setting. The motivation is on one hand that on the fundamental level it seems that space-time is discrete, because of the existence of the Planck length and its role e.g. in quantum gravity. On the other hand, even in a continuous world many important phenomena are discrete, such as phenomena occurring in crystals or in molecular or atomic chains. Thus difference equations may be more fundamental than differential ones. Moreover, differential equations often have to be solved numerically and that means that they have to be discretized, i.e. approximated by a difference system.
Our main interest is in models that can be solved exactly because of their symmetry and integrability properties. Of special interest are finite and infinite dimensional integrable and superintegrable models. Integrable systems have as many commuting integrals of motion as degrees of freedom (which may be infinite). Superintegrable systems have more integrals of motion than degrees of freedom and these integrals form interesting non-Abelian algebras. The integrals of motion are related to symmetries of the system. These may be Lie point symmetries but usually they are generalized symmetries and they form more general algebras than Lie ones. Our aim is to study and use Lie symmetries of difference equations and to discretize differential equations preserving their most important properties. These include their Lie point symmetries, generalized symmetries, integrability and superintegrability.
In order to do so we plan to host a top-class researcher from a Canadian first class laboratory who is a founder and an expert in the field of symmetry preserving discretization and construction of superintegrable systems. This will strengthen the host institution’s research skills and its relations with the laboratory of the researcher.
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 pure mathematics mathematical analysis differential equations
- natural sciences mathematics pure mathematics algebra
- natural sciences physical sciences theoretical physics
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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-2013-IIF
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
00154 ROMA
Italy
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.