Registration Number
0215U001219,
0112U001275
, R & D reports
Title
New effects in quantum liquids, gases, and systems with the deformed Heisenberg algebra
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Head
Vakarchuk Ivan Oleksandrovych,
Registration Date
03-02-2015
Organization
Ivan Franko National University of Lviv
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It is shown for the first time that the equivalence principle can be recovered in the space with deformed commutation relations. For the first time, the connection of the nonlinear deformed algebra with the linear one is found. Conditions to realize the optimal evolution of spin systems are established. For the first time, a microscopic black hole is consudered in the case of a generalized uncertainty relation with minimal length and momentum. The full density matrix of the system "Bose-liquid + impurity atom" is obtained in the approximation of pair correlations. For the first time, the existence of a phase transition is predicted in a system obeying the Polychronakos statistics with a complex parameter and estimations about its experimental observations are made. Two-parametric fractional statistics are applied to model weakly-interacting and finite Bose-systems as well as the ideal anyon gas.
Product Description
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Вакарчук Іван Олександрович
Григорчак Орест Іванович
Кузьмак Андрій Романович
Пастухов Володимир Степанович
Притула Роман Олександрович
Ровенчак Андрій Адамович
Самар Микола Іванович
Стецко Микола Миколайович
Ткачук Володимир Михайлович
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2020-04-02
