Mathematical methods for physical systems: Integrability, Scattering and Applications

Operation co-funded by EU cohesion policy (European Regional Development Fund (ERDF)) under the programme Bourgogne - ERDF/ESF/YEI (2014FR16M0OP014), managing authority: Région Bourgogne-Franche-Comté. The source names no beneficiary for this operation. Location: Côte-d’Or (NUTS FRC11); France. Budget: total eligible expenditure EUR 171,150; EU co-financing EUR 94,132.5 (co-financing rate 55%), as stated by the source. Runs 2019-09-01 to 2022-09-30. Source: Kohesio, EU cohesion policy projects managed by national and regional authorities (not CORDIS); selected because its summary names quantum technology. Summary from Kohesio (English machine translation by the source): Among the challenges of contemporary physics research, many use powerful and effective mathematical tools, leading to a high level of sophistication and specialisation. Among these mathematical tools, the ISA project focuses on three precise, highly interconnected techniques: integrability, scattering theory, and spectral methods. These cross-cutting methods are used in two distinct but methodologically complementary physical contexts. The first context is that of integrable quantum models, where the scattering properties of flat waves are at the origin of powerful mathematical properties, but whose origin sometimes resists rigorous analysis. This is particularly the case in quantum field theories, for example in gauge-gravity dualities. The second context concerns integrated optical components developed using nanomaterials. It gives rise to technological applications as part of an IMB/ICB collaboration aimed at the development of optical sources and ultrasensitive sensors, especially for medical diagnosis. The interdisciplinary approach that is adopted combines theoretical study (IMB) with laboratory experiments (ICB), to create synergy that goes beyond the methods currently used independently by each community.

Original source.

Source: Kohesio (EU cohesion policy projects), European Commission, Directorate-General for Regional and Urban Policy (DG REGIO). Retrieved 2026-10-21. Licence: CC0 1.0 (Cohesion Open Data Platform, dataset 2014-2020 Kohesio projects). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: public domain dedication (CC0 1.0).

AI-assisted summary: The project "Mathematical methods for physical systems" focuses on integrability, scattering theory, and spectral methods in quantum models. It is co-funded by the EU with a budget of EUR 171,150, running from September 2019 to September 2022 in Côte-d’Or, France. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.