Objective
In my project Quantum Nature of Binding (QBind), I will develop rigorous methods to fully capture the quantum nature of particles in the process of binding. I aim to determine precise criteria under which Schrödinger operators with critical potentials produce binding in many-particle systems.
I will develop tools to treat two long-standing challenges at the interface of mathematics and physics: the formation of negatively charged ions (the Ionization Conjecture), and the Efimov effect, a striking quantum phenomenon predicted in 1970 but only partially understood mathematically. In particular, I will provide analytic proofs for the confinement-induced Efimov effect. This effect was predicted by Nishida and Tan due to advancements in experiments with ultracold atoms.
Methodologically, I will restore the quantum structure in the Benguria–Lieb Argument by replacing mean-field arguments with a semiclassical expression that retains quantum information of the electronic hull. The result will open new perspectives on the Ionization Conjecture, one of Barry Simon’s famous 1984 problems.
The project is structured around three objectives:
1. Determine exact decay properties of quantum states under critical Schrödinger operators in various dimensions.
2. Transfer the binding mechanism due to quantum tunneling from three dimensions to geometrically constrained configurations, proving the confinement-induced Efimov effect.
3. Prove a weighted Lieb–Oxford inequality using my results on Coulomb kernels, with direct application to the Ionization Conjecture.
QBind will bridge mathematics and physics by providing experimentalists with rigorous criteria to design laboratory tests of the Efimov effect. With recent advances in ultracold atom experiments, interest has surged. Efimov’s 1970 article has received more than twice as many citations in the past five years as in the three decades after publication, yet few in mathematical journals. This project will close that gap.
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.
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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.
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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-2025-PF
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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.