12 citations · 15 across the 3 of their papers we have counts for
4 papers
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…