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Publications Influence

Exponential representation in the Coulomb three-body problem

- A. Frolov, V. H. Smith
- Physics
- 14 October 2004

The exponential representation in the Coulomb three-body problem is considered. It is shown that the exponential variational expansion in relative coordinates r32, r31 and r21 has a number of… Expand

34 2

Positron annihilation in the positronium negative ion Ps

- A. Frolov
- Physics
- 25 July 2005

Abstract The energy and other bound state properties of the positronium negative ion Ps − (or e − e + e − ) are determined to high accuracy with the use of extremely accurate variational wave… Expand

27 1

Hylleraas-configuration-interaction analysis of the low-lying states in the three-electron Li atom and Be + ion

- M. B. Ruiz, J. T. Margraf, A. Frolov
- Physics
- 22 February 2013

The total energies of 28 bound S, P , D, F , G, H ,a ndI states in the three-electron Li atom and Be + ion, respectively, are determined with the use of the configuration interaction (CI) with Slater… Expand

18 1- PDF

CORRIGENDUM: Highly accurate evaluation of the few-body auxiliary functions and four-body integrals

Analytical formulae suitable for numerical calculations of the second- and third-order auxiliary functions A2 (k, m, a, b) and A3 (k, l, m, a, b, c) are presented. These formulae can directly be used… Expand

20 1- PDF

New method for highly accurate calculations of the photodetachment cross-sections of the negatively charged hydrogen ions

- A. Frolov
- Chemistry, Physics
- 29 April 2015

Abstract New approach to highly accurate calculations of the photodetachment cross-sections of the negatively charged hydrogen ions is developed. This effective, fast and numerically stable method is… Expand

7 1- PDF

Ground state of positronium hydride

- A. Frolov, V. H. Smith
- Physics
- 1 September 1997

The ground bound state in the positronium hydride molecule (HPs) is determined from extensive variational four-body calculations with the James-Coolidge four-body variational expansion in the… Expand

18 1

Singular and nonsingular three-body integrals for exponential wave functions.

- F. E. Harris, A. Frolov, V. H. Smith
- Physics, Medicine
- The Journal of chemical physics
- 21 September 2004

Integrals which are individually singular, but which may be combined to yield convergent expressions, are needed for computations of relativistic effects and various properties of atomic and… Expand

28 1

Photodetachment of the hydrogen and positronium negative ions

- A. Frolov
- Physics
- 9 February 2004

The photodetachment of the ∞H−, T−, D−, 1H−, Mu− and Ps− ions by low-energy photons is considered in terms of the two-body cluster approximation. For all considered systems the constant C in the… Expand

16 1

The Hamiltonian formulation of tetrad gravity: Three-dimensional case

- A. Frolov, N. Kiriushcheva, S. Kuzmin
- Physics
- 5 February 2009

The Hamiltonian formulation of tetrad gravity in any dimension higher than two, using its first-order form where tetrads and spin connections are treated as independent variables, is discussed, and… Expand

16 1- PDF

Three-particle integrals with spherical Bessel and Neumann functions and photodetachment of the negatively charged hydrogen ions

- A. Frolov, D. Wardlaw
- Physics, Mathematics
- Journal of Mathematical Chemistry
- 31 March 2014

A few approaches are derived to calculate three-particle integrals which include spherical Bessel functions of the first and second kind, i.e., the $$j_{\ell }(V r)$$jℓ(Vr) and $$n_{\ell }(V… Expand

5 1- PDF