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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 2, p.123-131
https://doi.org/10.15407/ujpe62.02.0123    Paper

Vakarchuk I.O.1, Panochko G.2

1 Department for Theoretical Physics, Ivan Franko National University of Lviv
(12, Dragomanov Str., 79005 Lviv, Ukraine)
2 College of Natural Sciences, Ivan Franko National University of Lviv
(107, Tarnavs’kyi Str., Lviv, Ukraine; e-mail: gpanochko@gmail.com)

The Effective Mass of an Impurity Atom in the Bose Liquid with a Deformed Heisenberg Algebra

Section: Soft Matter
Original Author's Text: English

Abstract: We consider the movement of a 3He impurity atom in the Bose liquid. We suggest to describe the many-particle correlations between atoms of the Bose liquid, by using a deformed Heisenberg algebra. As generalized coordinates, we choose the collective variables that are the Fourier components of fuctuations of the density of Bose particles. The wave function of the investigated system in the zeroth approximation is the product of the wave function of the liquid helium-4 within deformed commutation relations between generalized coordinates and momenta and the plane wave of the impurity atom. We calculate the correction to the ground-state energy of the system “Bose liquid plus impurity” and the efective mass of the impurity atom 3He, by assuming that the boson-impurity interaction is a small perturbation.

Key words: boson systems, deformed Heisenberg algebra, efective mass.