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

Authors

  • I. O. Vakarchuk Department for Theoretical Physics, Ivan Franko National University of Lviv
  • G. Panochko College of Natural Sciences, Ivan Franko National University of Lviv

DOI:

https://doi.org/10.15407/ujpe62.02.0123

Keywords:

boson systems, deformed Heisenberg algebra, effective mass

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 fluctuations 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 effective mass of the impurity atom 3He, by assuming that the boson-impurity interaction is a small perturbation.

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Published

2018-12-16

How to Cite

Vakarchuk, I. O., & Panochko, G. (2018). The Effective Mass of an Impurity Atom in the Bose Liquid with a Deformed Heisenberg Algebra. Ukrainian Journal of Physics, 62(2), 123. https://doi.org/10.15407/ujpe62.02.0123

Issue

Section

Soft matter