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Information × Registration Number 0217U003192, 0112U001013 , R & D reports Title Development of new mathematical methods and their application to problems of phase transitions, the constuction of exact solutions of the equations of superconductivity and magnetic monopole popup.stage_title Head Belokolos E., Registration Date 24-01-2017 Organization Institute of magnetism of NASU popup.description2 During the project: (a) elliptical Gaudin Hamiltonians were investigated; (b) non-Abelian SU(2) monopoles of charge 3 was constructed in the frame Atiayah-Drinfeld-Manin-Hitchin-Nam model using algebra-geometrical methods of integration; (c) Madelung's rule describing Mendeleev periodic table structure has been proved for Schr?dinger equation with Tietze potential; (d) an explicit expression for degenerated sigma-function, which is describing all possible variants of degeneracy and is allowing multiple degeneration up to zero has been obtained; (e) states of magnetics with 3/2 ion spin have been studied for the general case of isotropic interaction of spins; (f) phase diagram of the ground state of one-dimensional systems with U/V>2 relation of intraorbital and interorbital repulsion has been constructed; (g) temperature dependence of the relation of shift viscosity to entropy density for helium was studied and a possibility to apply obtained results to another materials was considered; (h) exact solution of time dependent Schr?dinger equation for particle in one-dimensional rectangular asymmetric potential has been obtained. The obtained results can form a basis for the development of the theory of phase transition based on the notion of stable random values. Product Description popup.authors Іванов Б.О. Білоколос Є.Д. Кирєев В.Є. Колежук О.К. Коростіл А.М. Лось В.Ф. Рябоконь О.Л. Тартаковська О popup.nrat_date 2020-04-02 Close