Registration Number
0222U002383,
0119U002203
, R & D reports
Title
Quantum effects in physics of one- and many-particle systems in spaces with complex structure
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Head
Tkachuk Volodymyr M., Доктор фізико-математичних наук
Registration Date
11-02-2022
Organization
Ivan Franko National University of Lviv
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An expression for the spectrum of a chain of oscillators in a noncommutative phase space with conservation symmetric properties is obtained. The energy spectrum and wave functions of the δ-δ0 Dirac comb in the one-dimensional space bounded by potential surfaces on both sides are calculated. The equation of motion of a macroscopic body in a gravitational field in a quantized space of canonical type with conservation spherical symmetry and symmetry for time inversion is found. The relation between the Lee-Yang zeros of the spin system and the measured values of the probe system is obtained. The value of entanglement of the triangular spin cluster is found. The metric of the state's manifold of the Ising model with long-range interaction is found. A method for preparing entangled states of two qubits on three spins is proposed. Protocols for measuring the entanglement of quantum states on a quantum computer are proposed. An expression for the concurrence as a measure of entanglement for supersymmetric states is obtained. The continuity equation and the exact expression for the probability density flux in a space with an arbitrary deformed algebra, which leads to the minimum length, are obtained. The thermodynamics of the system of anions with magnetic charges in a magnetic field is calculated. The thermodynamic functions and the critical behavior of an ideal Bose gas with the Gibbs factor deformed by the Zallys q-exponent with a complex parameter are investigated. Solutions of Einstein's equations for charged black holes with a dilaton field and their thermodynamics are studied.
Product Description
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Belyukh Viktor
Vakarchuk Ivan
Gnatenko Khrystyna P.
Hryhorchak Orest I.
Kryzhova Anastasia V.
Krynytskyi Yurii S.
Kuzmak Andrij R.
Rovenchak Andrii A.
Samar Mykola I.
Sobko Bohdana Yu.
Stetsko Mykola M.
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2022-03-09
