Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Cherny, Alexander Yu."'
Autor:
Cherny, Alexander Yu.
Publikováno v:
Phys. Rev. A 110, 023309 (2024)
The confinement-induced resonances for trapped bosons in the cigar-shaped and pancake geometries are studied within the generalized Gross-Pitaevskii equations, which are a simplified version of the Hartree-Fock-Bogoliubov approximation. Although the
Externí odkaz:
http://arxiv.org/abs/2404.15872
The correlation properties of a dense random system of disks with a power-law size distribution are analyzed in momentum space in the thermodynamic limit. The limit assumes that the total number the disks increases infinitely, while the mean density
Externí odkaz:
http://arxiv.org/abs/2308.01726
Autor:
Cherny, Alexander Yu.
Publikováno v:
Phys. Rev. A 107, 033315 (2023)
The variational theorem for the scattering length in the presence of the dipole-dipole interaction is developed. The theorem is applied to the spinless dipolar Bose gas in three dimensions. We calculated analytically the long-range tails of the singl
Externí odkaz:
http://arxiv.org/abs/2210.15772
Publikováno v:
J. Chem. Phys. 158, 044114 (2023)
We consider dense random packing of disks with a power-law distribution of radii and investigate their correlation properties. We study the corresponding structure factor, mass-radius relation and pair distribution function of the disk centers. A toy
Externí odkaz:
http://arxiv.org/abs/2204.10644
We consider scattering exponents arising in small-angle scattering from power-law polydisperse surface and mass fractals. It is shown that a set of fractals, whose sizes are distributed according to a power-law, can change its fractal dimension when
Externí odkaz:
http://arxiv.org/abs/2203.16410
Autor:
Cherny, Alexander Yu.
Publikováno v:
J. Phys. A: Math. Theor. 55, 155004 (2022)
The variational theorem for the scattering length [Cherny and Shanenko, Phys. Rev. E 62, 1646 (2000)] is extended to one and two dimensions. It is shown that the arising singularities can be treated in terms of generalized functions. The variational
Externí odkaz:
http://arxiv.org/abs/2111.08074
Autor:
Cherny, Alexander Yu.
Publikováno v:
Phys. Rev. A 104, 043304 (2021)
It is shown that variation of the one-particle dispersion in a universal many-body system enables us to obtain Tan's adiabatic sweep theorem and its generalization. The derivation is based on the Hellmann-Feynman theorem and the variational theorem f
Externí odkaz:
http://arxiv.org/abs/2108.08099
We examine the one-dimensional Gross-Pitaevskii lattice at zero temperature in the presence of uncorrelated disorder. We obtain analytical expressions for the thermodynamic properties of the ground state field and compare them with numerical simulati
Externí odkaz:
http://arxiv.org/abs/2107.01449
Autor:
Cherny, Alexander Yu.
Publikováno v:
Phys. Rev. A 100, 063631 (2019)
The low-density expansions for the energy, chemical potential, and condensate depletion of the homogeneous dilute dipolar Bose gas are obtained by regularizing the dipole-dipole interaction at long distances. It is shown that the leading term, propor
Externí odkaz:
http://arxiv.org/abs/1910.05489
Publikováno v:
Journal of Chemical Physics; 1/14/2024, Vol. 160 Issue 2, p1-8, 8p