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 34,122; EU co-financing EUR 17,061 (co-financing rate 50%), as stated by the source. Runs 2018-01-01 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): THE MAIN GOAL OF THIS PROJECT IS THE STUDY OF HAMILTONIAN DYNAMICAL SYSTEMS APPLIED TO DIFFERENT PROBLEMS IN ATOMIC AND MOLECULAR PHYSICS AND OTHER RELATED FIELDS, AS IT IS CELESTIAL MECHANICS. IN SUCH PROBLEMS, THE INTEREST IS NOT ONLY A QUALITATIVE ANALYSIS OF SOME PARTICULAR SOLUTIONS OF THE FULL PROBLEM BUT ALSO TO APPROXIMATE THESE SOLUTIONS VERY ACCURATELY. THAT IS THE CASE IN ASTRODYNAMICS IN ORDER TO STUDY THE CONTROL OF SPACE VEHICLES OR IN CELESTIAL MECHANICS TO ANALYSE THE PHENOMENON OF CAPTURE AND ESCAPE OR IN ATOMIC AND MOLECULAR PHYSICS TO UNDERSTAND THE DYNAMICS OF MOLECULAR REACTIONS, THE IONISATION PROCESSES IN SOME ATOMS OR TO CONTROL THE ORIENTATION OF COLD MOLECULES BY MEANS OF LASER PULSES. IN THESE PROBLEMS, THE QUANTITATIVE VIEWPOINT IS OF GREAT INTEREST: FOR INSTANCE THE VALIDITY OF THE COMPUTED SOLUTIONS WITHIN THE PHASE SPACE, THE GLOBALISATION OF THE LOCAL INVARIANT MANIFOLDS, THE CONSTRUCTION OF POINCARE SURFACES OF SECTION, THE NUMERICAL INTEGRATION OF SOLUTIONS AND THE NUMERICAL CONTINUATION OF FSMILIES OF PERIODIC SOLUTIONS AND OTHER INVARIANT OBJECTS. THE INCORPORATION OF THE QUANTUM POINT OF VIEW AS A COMPLEMENT TO THE CLASSICAL TREATMENT IS OF SIGNIFICANT IMPORTANCE IN PROBLEMS OF ATOMIC PHYSICS. THE METHODS AND TECHNIQUES USED ARE BASED IN THE AVERAGING AND NORMAL FORM THEORY IN ORDER TO GET A SIMPLIFIED SYSTEM EASIER TO STUDY. ONCE THE SIMPLIFIED SYSTEM IS ANALYSED, THE DYNAMICS OF THE ORIGINAL SYSTEM CAN BY PARTIALLY RECONSTRUCTED. HOWEVER, THESE TECHNIQUES DO NOT ALWAYS ALLOW A COMPLETE DESCRIPTION OF THE BEHAVIOR OF THE ORIGINAL SYSTEM AND A NUMERIAL APPROACH IS ALSO NEEDED. IN THIS WAY, POINCARE SURFACES OF SECTION, CONTINUATION ALGORITHMS OR CHAOS INDICATORS WILL BE USED TO BETTER UNDERSTAND THE DYNAMICS OF THE ORIGINAL SYSTEM. ON THE OTHER HAND, WE WILL ALSO CONSIDER THE STABILITY ANALYSIS OF EQUILIBRIUM AND PERIODIC SOLUTIONS, SEARCHING FOR NEW CRITERIA FOR STRONG DEGENRATE CASES AND IN THE CASE OF THE PRESENCE OF [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 dynamical systems in atomic and molecular physics and related fields, co-funded by the EU with a budget of EUR 34,122. It runs from January 1, 2018, to September 30, 2022, in Spain. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.