IMPURITY EFFECTIVE MASS IN SUPERFLUID ^{4}He

Vakarchuk,; Babin,

doi:10.5488/cmp.1.1.161

Cited by 1 publication

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References 9 publications

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“…Let as suppose that the Bose liquid is in the ground state with the wave function given by Eq. (14). The ground-state energy…”

Section: Quantum States Of the System "Bose Liquid Plus Impurity" Witmentioning

confidence: 99%

“…The value * / = 1.7 was obtained by the variational method. In work [14], where the interaction between atoms 4 He and an impurity atom 3 He was modeled by the Aziz potential, and the value * / = 2.15 with the use of the experimental structure factor [15] was obtained in the second order of perturbation theory. The study of the low-temperature behavior of the effective mass of an impurity [16] was based on the averaging of the full statistical operator of a system "Bose liquid plus impurity" over the states of pure 4 He.…”

Section: Introductionmentioning

confidence: 99%

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

Vakarchuk

Panochko

2017

Ukr. J. Phys.

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We consider the movement of a 3 He 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 groundstate energy of the system "Bose liquid plus impurity" and the effective mass of the impurity atom 3 He, by assuming that the boson-impurity interaction is a small perturbation. K e y w o r d s: boson systems, deformed Heisenberg algebra, effective mass.

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“…Let as suppose that the Bose liquid is in the ground state with the wave function given by Eq. (14). The ground-state energy…”

Section: Quantum States Of the System "Bose Liquid Plus Impurity" Witmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Vakarchuk

Panochko

2017

Ukr. J. Phys.

View full text Add to dashboard Cite

show abstract

IMPURITY EFFECTIVE MASS IN SUPERFLUID ^{4}He

Abstract: The system of bose liquid + impurity is considered. The energy spectrum, as well as effective mass of impurity is calculated. For the case of an 3 He atom in superfluid 4 He numerical calculations are performed.

Cited by 1 publication

References 9 publications

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

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

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