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Information × Registration Number 0225U002881, (0122U001558) , R & D reports Title Classical and quantum systems on different space-time scales and the influence of space quantization on their properties popup.stage_title Класичні та квантові системи на різних просторово-часових масштабах та вплив квантованості простору на їх властивості Head Tkachuk Volodymyr M., д.ф.-м.н. Registration Date 14-04-2025 Organization Ivan Franko National University of Lviv popup.description1 Studies of the properties of one- and many-particle systems on different space-time scales with the help of analytical calculations and using quantum computers, establishing the influence of space quantization on the properties of classical and quantum systems. popup.description2  The integrable system of two interacting particles in the de Sitter space with scalar and electromagnetic interactions has been constructed, the influence of the radiation reaction on the motion of particles in this space and some compact spaces has been calculated. A static black hole solution with electromagnetic and nonabelian fields in Horndeski theory is obtained. The solution is studied and the thermodynamics of the black hole in the standard and extended frameworks is considered. Higher spins mode stability is studied for the field equations in rotating STU black hole background. The evolution of a rhombic spin cluster interacting with a boson bath is studied. The entanglement in such a system is studied. The conditions under which the system reaches the maximum entangled state have been found. The boson bath has been studied to determine how it affects this entanglement. A protocol that allows us to determine the absolute imaginary Fisher zeros of the Ising model on a quantum computer is proposed. This protocol is based on the absolute correspondence of the partition function with the imaginary temperature and the evolution operator. The proposed protocol has been tested on IBM quantum computers. A Lorentz-covariant deformed algebra, reducible to the undeformed form in the non-relativistic limit, is studied. The particle’s motion in Schwarzschild space-time with deformed Poisson brackets is analyzed, and the orbit’s precession angle is obtained considering deformation. By comparing with Mercury’s precession, an estimate for the minimum length is found. In the general case of the deformed Heisenberg algebra with minimal length, the definition of the delta-prime potential is found as the linear kernel of the potential energy operator in the momentum representation. The exact energy level and corresponding eigenfunction for a particle in such a potential are obtained. Product Description popup.authors Hnatenko Bohdan P. Gnatenko Khrystyna P. Duviryak Askold A. Kuzmak Andrii R. Panas Arsen O. Samar Mykola I. Sapriianchuk Petro V. Stetsko Mykola M. Susulovska Nataliia A. Tataryn Mykhailo B. Tymyk Sviatoslav M. Tonne Mykhailo P. Yavir Dmytro Ya. popup.nrat_date 2025-04-14 Close