Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Tomchenko, Maksim D."'
Autor:
Tomchenko, Maksim D.
Publikováno v:
Fiz. Nizk. Temp. 48, 739 (2022) [Low Temp. Phys. 48, 651 (2022)]
We perform the symmetry analysis of the properties of the ground state of a finite system of interacting spinless bosons for the three most symmetric boundary conditions (BCs): zero BCs with spherical and circular symmetries, as well as periodic BCs.
Externí odkaz:
http://arxiv.org/abs/2112.14641
Autor:
Tomchenko, Maksim D.
As is known, the ground state (GS) of a system of spinless bosons must be non-degenerate and must be described by a nodeless wave function. With the help of the general quantum mechanical analysis we show that any \textit{anisotropic} state of a syst
Externí odkaz:
http://arxiv.org/abs/2108.03633
Autor:
Tomchenko, Maksim D.
It is usually assumed that the Bose crystal at $T=0$ corresponds to the genuine ground state of a Bose system, i.e., this state is non-degenerate and is described by the wave function without nodes. By means of symmetry analysis we show that the grou
Externí odkaz:
http://arxiv.org/abs/2010.04070
Autor:
Tomchenko, Maksim D.
Publikováno v:
Fiz. Nizk. Temp. 46, 584 (2020) [Low Temp. Phys. 46, 490 (2020)]
By solving the equations of ordinary and two-fluid hydrodynamics, we study the oscillatory modes in isotropic nonpolar dielectrics He I and He II in the presence of an alternating electric field $\textbf{E}=E_{0}\textbf{i}_{z}\sin{(k_{0}z-\omega_{0}
Externí odkaz:
http://arxiv.org/abs/1910.00495
Autor:
Tomchenko, Maksim D.
Publikováno v:
Dopov. Nac. akad. nauk Ukr. No. 12, 49 (2019)
As is known, an elementary excitation of a many-particle system with boundaries is not characterized by a definite momentum. We obtain the formula for the quasimomentum of an elementary excitation for a one-dimensional system of $N$ spinless point bo
Externí odkaz:
http://arxiv.org/abs/1705.10565
Autor:
Tomchenko, Maksim D.
Publikováno v:
Ukr. J. Phys. 64, 509 (2019)
Based on the microscopic Maxwell equations, we develop a method of description of the electric field in a spontaneously polarized isotropic nonpolar dielectric. We find the solution for the electric field $\textbf{E}(\textbf{r})$ for several typical
Externí odkaz:
http://arxiv.org/abs/1702.04290
Autor:
Tomchenko, Maksim D.
We analyze the possible expansions of the interatomic potential $U(|\textbf{r}_{1}-\textbf{r}_{2}|)$ in a Fourier series for a cyclic system and a system with boundaries. We also study the transition from exact expansions for a finite system to the e
Externí odkaz:
http://arxiv.org/abs/1403.8014
Autor:
Tomchenko, Maksim D.
It is usually assumed that the boundaries do not affect the bulk microstructure of an interacting uniform Bose gas. Therefore, the models use the most convenient cyclic boundary conditions. We show that, in reality, the boundaries affect strongly the
Externí odkaz:
http://arxiv.org/abs/1204.2149
Autor:
Tomchenko, Maksim D.
Publikováno v:
Ukr. J. Phys. 59, 123 (2014)
We have studied the microstructure of a system of interacting Bose particles under zero boundary conditions and have found two possible orderings. One ordering is traditional and is characterized by the Bogolyubov dispersion law E^2 = (h^2 k^2/2m)^{2
Externí odkaz:
http://arxiv.org/abs/1201.1845
Autor:
Tomchenko, Maksim D.
Publikováno v:
J. Low Temp. Phys. 140, 3 (2005)
It is suggested that microscopic vortex rings (MVR) play an important role in the \lambda-transition in helium-II and substantially determine the value of T_{\lambda}. For very thin films of He-II, with thickness d less than the size of the smallest
Externí odkaz:
http://arxiv.org/abs/1107.3692