129 citations · 233 across the 26 of their papers we have counts for
17 papers · 1 filter
Two-electron atomic systems. A simple method for calculating the ground state near the nucleus. Some applications
Evgeny Z. Liverts
A simple method of variational calculations of the electronic structure of a two-electron atom/ion, primarily near the nucleus, is proposed. The method as a whole consists of a sta…
Fock expansion for two-electron atoms. High order angular coefficients
Evgeny Z. Liverts, Rajmund Krivec
The Fock expansion, which describes the properties of two-electron atoms near the nucleus, is studied. The angular Fock coefficients with the maximum possible value…
Electrons on sphere in the helium-like atomic systems
Evgeny Z. Liverts
The properties of a special configuration of a helium-like atomic system, when both electrons are on the surface of a sphere of radius , and angle characterizes their positi…
Accurate exponential representations for the ground states of the collinear two-electron atomic systems
Evgeny Z. Liverts, Nir Barnea
In the framework of the study of helium-like atomic systems possessing the collinear configuration, we propose a simple method for computing compact but very accurate wave function…
Small recoil momenta double ionization of He and two-electron ions by high energy photons
Miron Ya. Amusia, Evgeny G. Drukarev, Evgeny Z. Liverts
We calculate various differential and double differential characteristics of ionization by a single photon for H, He and for the two-electron ions with Z=3,4,5 in the region of…
The collinear helium atom and two-electron ions
Evgeny Z. Liverts, Rajmund Krivec, Nir Barnea
Collinear configurations of the helium-like atomic systems, relevant, e.g., for the quasifree mechanism of the double photoionization of helium, are studied, parameterized by the s…
Averaged electron densities of the helium-like atoms
Evgeny Liverts, Rajmund Krivec
Different kinds of averaging of the wavefunctions/densities of the two-electron atomic systems are investigated. Using the Pekeris-like method, the ground state wave functions …
Helium-like atoms. The Green's function approach to the Fock expansion calculations
Evgeny Liverts, Nir Barnea
The renewed Green's function approach to calculating the angular Fock coefficients, is presented. The final formulas are simplified and specified to be applicable fo…
Two-particle atomic coalescences: Boundary conditions for the Fock coefficient components
Evgeny Z. Liverts
The exact values of the presently determined components 26of the angular Fock coefficients at the two-particle coalescences were obtained and systematized. The Green Function appro…
The exact calculation of the edge components of the angular Fock coefficients
Evgeny Z. Liverts
The present paper constitutes the development of our previous work devoted to calculations of the angular Fock coefficients, . The explicit analytic representations f…
Subcomponents and of the angular Fock coefficients: Explicit analytic representation
Evgeny Z. Liverts, Nir Barnea
The Fock expansion [1] describes the -state wave function of the two-electron atomic system in the vicinity of the triple coalescence point. The present work constitutes the add…
Angular Fock coefficients. Fixing the errors, and further development
Evgeny Z. Liverts, Nir Barnea
The angular coefficients of the Fock expansion characterizing the S-state wave function of the two-electron atomic system, are calculated in hyperspherical angular c…
On the dependence of one-photon - two-electron differential cross sections on recoil momenta
M. Ya. Amusia, E. G. Drukarev, E. Z. Liverts +1
We calculate the distributions in recoil momenta and their energy distributions for the high energy non-relativistic double photoionization of helium caused by the quasifree mechan…
Back-to-back emission of the electrons in double photoionization of helium
M. Ya. Amusia, E. G. Drukarev, E. Z. Liverts
We calculate the double differential distributions and distributions in recoil momenta for the high energy non-relativistic double photoionization of helium. We show that the resul…
Qualitative difference between the angular anisotropy parameters in fast electron scattering and photoionization
M. Ya. Amusia, L. V. Chernysheva, E. Z. Liverts
It is demonstrated for the first time that in spite of well known big similarities between atomic ionization by photons and fast electrons, a qualitative difference exists in angul…
Non-dipole effects in angular distributions of secondary electrons in fast particle-atom scattering
M. Ya. Amusia, L. V. Chernysheva, E. Z. Liverts
We demonstrate that the angular distribution of electrons knocked out from an atom by a fast charge particle is determined not only by dipole but also by quadrupole transitions, th…
Analytic calculation of energies and wave functions of the quartic and pure quartic oscillators
E. Z. Liverts, V. B. Mandelzweig, F. Tabakin
Ground state energies and wave functions of quartic and pure quartic oscillators are calculated by first casting the Schrödinger equation into a nonlinear Riccati form and then sol…