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Information × Registration Number 0209U001268, 0106U000782 , R & D reports Title Investigation of properties of the quark-gluon interaction and bound-states of the quantum physics popup.stage_title Head Tutik Ruslan Semenovich, Registration Date 27-01-2009 Organization Oles Honchar Dnipropetrovsk national university popup.description2 A research object is the relativistic and nonrelativistic quantum-mechanical equations, methods of their construction and approximate solving. The goal of the research is the development of theoretical grounds and methods of investigation of the quark-gluon interaction properties and bound states of the quantum physics, the obtaining of new exact solutions to the quantum-mechanical equations, with their subsequent application to the analysis of processes in the high-energy physics, atomic and molecular physics, as well as in the solid state physics. Research techniques: methods of the theoretical and mathematical physics, the theory of functions of a complex variable, the theory of the differential equations and the group theory, methods of the numerical analysis and computer programming. Research results consist in the development of methods of construction of potential models on the basis of the SL(2,C) group extension and in applying them to the study of regularities of the quark-gluon interaction.The new approach to the construction of the relativistic equations for the bound states of few-body quantum systems, which is based on the Sp(4,C) group, has been developed. New exactly solvable oscillator models with non-minimally involved interaction have been obtained and analysed. Efficiency of the constructed models is confirmed by their application to the description of mesons and baryons. Application area of the research results is the high-energy physics, atomic and nuclear physics. Product Description popup.authors popup.nrat_date 2020-04-02 Close