14 citations · 34 across the 6 of their papers we have counts for
6 papers
On the symmetry of the electronic density in the three-electron parabolic quantum dot
A. V. Meremianin
The structure of the lowest states of a three-electron axially symmetric parabolic quantum dot in a zero magnetic field is investigated. It is shown that the electronic density of…
The Eckart frame Hamiltonians in the three-body problem
A. V. Meremianin
The Eckart frame is used to separate out the collective rotations in the quantum three-body problem. Explicit expressions for the corresponding rotational and vibro-rotational (i.e…
Hyperspherical harmonics with arbitrary arguments
A. V. Meremianin
The derivation scheme for hyperspherical harmonics (HSH) with arbitrary arguments is proposed. It is demonstrated that HSH can be presented as the product of HSH corresponding to s…
Collective multipole expansions and the perturbation theory in the quantum three-body problem
A. V. Meremianin
The perturbation theory with respect to the potential energy of three particles is considered. The first-order correction to the continuum wave function of three free particles is…
Multipole expansions and Fock symmetry of the Hydrogen atom
A. V. Meremianin, J-M. Rost
The main difficulty in utilizing the O(4) symmetry of the Hydrogen atom in practical calculations is the dependence of the Fock stereographic projection on energy. This is due to t…
Multipole expansions in four-dimensional hyperspherical harmonics
A. V. Meremianin
The technique of vector differentiation is applied to the problem of the derivation of multipole expansions in four-dimensional space. Explicit expressions for the multipole expans…