Registration Number
0218U003330,
0117U003534
, R & D reports
Title
Description of quantum gases with interaction, and of entanglement aspects, based on deformed algebras and kinetic methods
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Head
Mishchenko Yuriy Anatoliyovych, Кандидат фізико-математичних наук
Registration Date
31-01-2018
Organization
Bogolyubov Institute for Theoretical Physics of National Academy of Sciences of Ukraine
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At the first stage, a study of quantum gases in external potential (trap), or with interparticle interaction, – on microscopic level and from the viewpoint of their effective description based on deformed algebras, – was a key issue. This involves an application to thermodynamic and statistical quantities. The known "equivalence" between deformed oscillator and one-particle system in a potential can be a starting point. That is why, at this stage of the project, Bose gas in external potential (trap) directly microscopically, but in quasiclassical approximation, was considered. Analysis is carried out by the example of specific isotropic trap/potential U(r) = A r^n + B r^(-m), in D dimensions. — For n <–> - n symmetric potential U(r) at m= n, explicit expression for total number of particles N(n, D;A, B) and some simplified integral ones, in terms of special functions, are obtained, in particular cases. On general potential U(r) (arbitrary m, n), analogous task is reduced, in acceptable approximation, to the problem in symmetric potential as U(r_0) + { A' r^n' - B' r^(- n') + C'}^2. Similar integral expressions for N are given. Analyzed are convergence conditions for over-condensate number of particles, yielding Bose-Einstein condensation existence conditions, both in general trap U(r) and in its particular cases. — Concerning kinetic issues of the task and applications to nuclear physics , – the temperatures of kinetic and chemical freeze-out for freely expanding hadron system are investigated, using UrQMD model, and comparison with experiment performed.
Product Description
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Міщенко Юрій Анатолійович
Мороз Олег Миколайович
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2020-04-02
