THEORY OF CLASSICAL-QUANTIC HYBRID SYSTEMS: BALANCE, DYNAMICS AND CONTROL

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: Zaragoza Province (NUTS ES243); Spain. Budget: total eligible expenditure EUR 45,980; EU co-financing EUR 22,990 (co-financing rate 50%), as stated by the source. Runs 2014-01-01 to 2017-12-31. Source: Kohesio, EU cohesion policy projects managed by national and regional authorities (not CORDIS); selected because its title uses a quantum word. Summary from Kohesio (English machine translation by the source): THIS PROJECT WILL ADDRESS THE PROBLEM OF THE MOST APPROPRIATE THEORETICAL FRAMEWORK TO DESCRIBE SYSTEMS COMPOSED OF CLASSICAL AND QUANTIC PARTICLES, I.E., SYSTEMS THAT CONTAIN DEGREES OF FREEDOM THAT CAN BE TREATED, IN GOOD APPROXIMATION, AS CLASSICS. THE PARADIGMATIC EXAMPLES OF THESE SYSTEMS ARE OF COURSE MOLECULES AND CONDENSED MATTER SYSTEMS, WHERE CLASSICAL ENTITIES ARE USUALLY ASSUMED TO BE NUCLEOS, WHILE ELECTRONS ARE DESCRIBED QUANTICALY. Although these hybrid models have been used for many years, there are a great number of questions without answering on them, as much as possible as PRACTICAL, and we will be interested in it. for one side, in BASIC FUNDAMENTAL ASPECTS — AS MATEMATICA STRUCTURE MORE ADOPTED FOR ALL SYSTEMS, OR THE FORMATING IN THE WORKING STATEMENTS OF MISMES-, WHAT WITHOUT WHATTHING WITHOUT COMPANY will provide the right-seen POINT for embracing PRACTICAL ASPECTS: THE PROBLEM OF FINDING THE MOST RIGOROUS (OR USEFUL) “NON-ADIABATICA” MOLECULAR DYNAMICS HAS NOT YET BEEN SOLVED, WITH SEVERAL DIFFERENT SCHEMES COEXISTING TODAY. The TEORIC FUNDAMENTS OF these schemas do not always qualify and hope that the results of this project will be determinant to clarify the debate. ADEMAS OF THE DESCRIPCTION OF THE DINAMIC OF PURSE SYSTEMS, we will also take care of the mechanics of these systems in equilibrary, given that this is, of fact, of fact, the primary engendered to interrelate many experiential ones. WE WILL BEGIN BY ANALYSING THE STILL OPEN PROBLEM OF PROPERLY DEFINING THE MICROCANONIC FORMALISM OF A COMPLETELY QUANTUM SYSTEM, AND THEN WE WILL NATURALLY MOVE ON TO THE STUDY OF THE MICROCANONIC FOR HYBRID SYSTEMS. Given that this FORMALISM can be seen as the point of part of all the statistic mechanics of the team, this should allow us to OBJECTY more formalisms, as for example the CANONIC. RESPECTION OF THE EQUILIBRY SITUATIONS, we will study the DINAMIC PROPERTYS OF THE KEY HIBRIED MODEL, Ehrenfest, with a special emphasis on the postibility [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 "Theory of Classical-Quantic Hybrid Systems" was co-funded by the EU under the ERDF program, with a budget of EUR 45,980, running from 2014 to 2017 in Zaragoza Province, Spain. It aims to develop a theoretical framework for systems with both classical and quantic particles. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.