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Information × Registration Number 0318U004039, 0115U000618 , R & D reports Title Symmetric and analytical properties of deformed nonlinear models of quantum systems and problems of nuclear and hadronic physics. Theoretical aspects of group deformed nonlinear models of quantum systems. popup.stage_title Теоретико групові аспекти деформованих нелінійних моделей квантових систем Head Kachuryk Ivan Ivanovych, Registration Date 13-02-2018 Organization Khmelnytskiy National University popup.description2 The object of the study is deformed basic objects of quantum physics (quantum oscillators, Bose and Fermi particles, etc.) as models of nonlinear quantum-mechanical systems and algebraic structures (quantum groups and algebras, inverse algebras, Poincare series) as a means of their mathematical description. The subject of the study is the theory-algebraic (group) analysis and physical applications of new (non-standard) nonlinear (deformed) models of quantum oscillators, algebraic aspects of the Poincare series, their explicit form, asymptotic representations and characteristic properties. The aim of the work is: 1) studying and applying the basic properties nonlinear (deformed) generalizations of such basic models for physics as quantum harmonic oscillator, Bose gas, Fermi gas, as well as deformed analogues of Bose condensates and coherent states to antovoyi physics; 2) the development of relevant issues of mathematical physics - the theory of quantum deformed groups and algebras, the theory of basic hypergeometric functions and quantum number, Poincarе series, etc. As a result of the implementation of the GDR, we obtained and deepened knowledge about such nonlinear systems as deformed quantum oscillators - new objects of intense research in modern quantum physics Product Description popup.authors Ілаш Надія Борисівна Бедратюк Ганна Іванівна Бедратюк Леонід Петрович Гаврилик Олександр Михайлович Голонжка Василь Миколайович Качурик Iван Iванович Рамський Андрій Оллександрович popup.nrat_date 2020-04-02 Close