17 citations · 111 across the 32 of their papers we have counts for
32 papers
Symmetry properties of the ground state of the system of interacting spinless bosons
Maksim D. Tomchenko
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): zer…
On the nature of the lowest state of a Bose crystal
Maksim D. Tomchenko
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 mec…
Exact crystalline solution for a one-dimensional few-boson system with point interaction
Maksim Tomchenko
We study the exact solutions for a one-dimensional system of spinless point bosons for zero boundary conditions. In this case, we are based on M. Gaudin's formulae obtaine…
Can a crystal be the ground state of a Bose system?
Maksim D. Tomchenko
It is usually assumed that the Bose crystal at corresponds to the genuine ground state of a Bose system, i.e., this state is non-degenerate and is described by the wave funct…
Acoustic modes in He I and He II in the presence of an alternating electric field
Maksim D. Tomchenko
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…
Nature of Lieb's "hole" excitations and two-phonon states of a Bose gas
Maksim Tomchenko
It is generally accepted that the ``hole'' and ``particle'' excitations are two independent types of excitations of a one-dimensional system of point bosons. We show for a weak cou…