Objective
The proposed project aims to develop a Hida-Malliavin-type calculus for quantum stochastic processes. Quantum stochastic processes are models for the evolution of quantum systems subject to noise. They also have applications in the theory of operator algebras, for example for the construction of dilations, and in classical probability, where they provide examples of processes with interesting and sometimes surprising properties. We take Wigner functions as densities of quantum stochastic processes and us e techniques on non-commutative harmonic analysis and infinite-dimensional analysis, in particular white noise calculus, to obtain sufficient conditions for quantum stochastic processes obtained as solutions of quantum stochastic differential equations to have smooth Wigner functions. The tools which we intend to develop can also be used to study other properties of quantum stochastic processes such as their asymptotic behaviour. Furthermore, we plan to apply them to realistic physical models from quantum optics.
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 optics
- natural sciences mathematics pure mathematics mathematical analysis functional analysis operator algebra
- natural sciences physical sciences quantum physics quantum optics
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
FP6-2004-MOBILITY-6
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.
OIF - Marie Curie actions-Outgoing International Fellowships
Coordinator
BESANÇON
France
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.