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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
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
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
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
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
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
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
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
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
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