HAMILTONIAN DYNAMIC SYSTEMS: METHODS AND APPLICATIONS IN ATOMIC AND MOLECULAR PHYSICS AND OTHER FIELDS OF INTEREST

Operation co-funded by EU cohesion policy (European Regional Development Fund (ERDF)) under the programme Multi-regional Spain - ERDF (2014ES16RFOP002), managing authority: Subdirección General de Gestión del FEDER, de la Dirección General de Fondos Europeos del Ministerio de Hacienda.. The source names no beneficiary for this operation. Location: Spain. Budget: total eligible expenditure EUR 31,097; EU co-financing EUR 15,548.5 (co-financing rate 50%), as stated by the source. Runs 2015-01-01 to 2018-04-30. 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): THE GENERAL THEME OF THE PROJECT PRESENTED IS THE STUDY OF HAMILTONIAN DYNAMIC SYSTEMS APPLIED TO PROBLEMS OF INTEREST IN ATOMIC AND MOLECULAR PHYSICS AND OTHER RELATED FIELDS, INCLUDING THE CELESTIAL MECHANICS, WHERE IT IS INTERESTING NOT ONLY A QUALITATIVE STUDY OF THE DIFFERENT SOLUTIONS OF THE STARTING SYSTEMS, BUT ALSO THE APPROXIMATE DETERMINATION OF THESE SOLUTIONS. FOR EXAMPLE, IN ASTRODYNAMICS, TO STUDY THE CONTROL OF SPACE VEHICLES, IN CELESTIAL MECHANICS, TO ANALYSE PHENOME OF CAPTURE OR IN CHEMISTRY AND PHYSICS, TO UNDERSTAND THE DYNAMICS OF MOLECULAR REACTIONS, IONISATION PROCESSES OR CONTROL IN THE ORIENTATION OF FRIAS MOLECULES USING LASER PULSES. IN THESE PROBLEMS IS ALSO IMPORTANT THE QUANTITATIVE PART, SUCH AS THE VALIDITY OF THE APPROXIMATIONS IN THE PHASE SPACE, THE GLOBALISATION OF APPROXIMATE LOCAL INVARIANT VARIETIES, THE CONSTRUCTION OF SECTIONS OF POINCARE, OR THE INTEGRATION OF SOLUTIONS AND NUMERICAL CONTINUATION OF FAMILIES OF PERIODIC ORBITS AND OTHER INVARIANT VARIETIES. IN THE PROBLEMS OF ATOMICA PHYSICS IT IS INTERESTING TO INCORPORATE THE QUANTICO POINT OF VIEW AS A COMPLEMENT TO THE CLASSIC VISION THAT THIS TEAM HAS BEEN PERFORMING TO DATE. ON THE OTHER HAND, THE STUDY OF THE MICROSCOPIC SUPERFLUIDITY OF NANODROPS, A NEWLY DISCOVERED PHENOMENE WITH POTENTIAL APPLICATIONS, SUCH AS CREATING ULTRA-COLOUR ENVIRONMENTS WHERE WE CAN STUDY MOLECULES OF BIOLOGICAL INTERESTS, IS ALSO ADDRESSED. the METHODS AND TECHNICALS that will be used are based on the SIMPLIFICATION of the PARTIDAY SYSTEM by the application of the NORMAL and PROMEDIAD THEORIES. ONCE THE SYSTEM IS SIMPLIFIED, ITS ANALYSIS CAN BE USED TO PARTIALLY RECONSTRUCT THE DYNAMICS OF THE ORIGINAL SYSTEM. HOWEVER, THESE TECHNIQUES DO NOT ALWAYS OFFER A COMPLETE DESCRIPTION OF THE BEHAVIOR OF THE SYSTEM AND IT IS NECESSARY TO RESORT TO NUMERIC TECHNIQUES SUCH AS SECTIONS OF POINCARE, ALGORITHMS OF NUMERICAL CONTINUITY OF SOLUTIONS OR INDICATORS OF CHAOS IN ORDER TO BETTER UNDERSTAND [shortened; the full text is on the Kohesio page]

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 focuses on studying Hamiltonian dynamic systems in atomic and molecular physics and related fields, including celestial mechanics. It was co-funded by the EU with a total budget of EUR 31,097, running from January 2015 to April 2018. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.