Registration Number
0212U004210,
0109U002096
, R & D reports
Title
New techniques for the studies of few- and many-body quantum systems
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Head
Vakarchuk Ivan Oleksandrovych,
Registration Date
31-01-2012
Organization
Ivan Franko National University of Lviv
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The optimal evolution of a spin-1 system with certain Hamiltonian restrictions is obtained. For quantum systems in the deformed space the connection between deformation parameters of many-particle systems with deformation parameters of elementary particles is found and the influence of deformation of their properties is analyzed; corrections for the relativistic hydrogen atom are found and the minimal length is estimated. Inhomogeneous Zeno effect is considered and it is shown that the maximal Zeno effect is observed at periodic measurements. The correspondence between the Gentile statistics and the Bose-system with a finite number of particles is established. From the analogy between rank-frequency distributions and Bose-distribution an approach for the analysis of complex systems is suggested. It is shown that taking three- and four-particle direct correlations into account improves the accordance of liquid helium structure function with experimental data, and accounting for the temperature dependence of the particle effective mass improves the specific heat behavior, especially for temperatures above the critical one.
Product Description
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Блажиєвський Лаврентій Федоровия
Вакарчук Іван Олександрович
Криницький Юрій Степанович
Мигаль Василь Михайлович
Пастухов Володимир Степанович
Притула Роман Олександрович
Ровенчак Андрій Адамович
Стецко Микола Миколайович
Ткачук Володимир Михайлович
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2020-04-02
