Project description
Advanced, simple formulas for the energy of Bose gases
Bose gases are fascinating systems in quantum physics, known for their unique behaviour at low energy and temperature. With the support of the Marie Skłodowska-Curie Actions programme, the UniBoGas project will study these gases to find simple formulas that express their energy levels based on the scattering length, which measures how particles interact. Researchers will determine how precise this universal description can be and which systems it applies to. This will involve examining systems with repulsive and attractive forces, systems with two types of particles and hard-sphere systems. By improving the Bogoliubov theory and introducing new methods such as semi-classical analysis, UniBoGas will advance mathematical physics, functional analysis, experimental physics and quantum chemistry.
Objective
In UniBoGas my aim is to prove universal expansion formulas for the low energy levels of the dilute Bose gases, showing their dependence on just one parameter, namely the scattering length of the potentials between the particles. I am going to work out to which order of precision of the expansion the universal description still holds, and for which kind of systems. The classification of the systems that satisfy the universality is obtained through studying the expansions in three directions by paradigmatic examples: I am going to evaluate the energy for systems with potentials with repulsive and attractive parts, I am going to approximate the energy of systems composed by two kinds of bosons by the energy of effective non-linear models and I am going to evaluate the low energy levels of the hard-spheres (hard-core potential) system.
The methodology used includes both the improvement of pre-existing techniques in the Bogolubov Theory and the introduction of new methods of localization, Semi-Classical Analysis and variational methods.
Other than on Mathematical Physics, the results of UniBoGas will have an impact also on disciplines like Functional Analysis, Experimental Physics and Quantum Chemistry for the Bose gases and will contribute to further understand the phenomenon of Bose Einstein Condensation.
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.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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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.
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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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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.
(opens in new window) HORIZON-MSCA-2022-PF-01
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
1165 KOBENHAVN
Denmark
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.