Exponential representation in the Coulomb three-body problem

AM Frolov, VH Smith Jr - Journal of Physics B: Atomic, Molecular …, 2004 - iopscience.iop.org
The exponential representation in the Coulomb three-body problem is considered. It is
shown that the exponential variational expansion in relative coordinates r 32, r 31 and r 21 …

Analytical approach to the helium-atom ground state using correlated wavefunctions

S Bhattacharyya, A Bhattacharyya… - Journal of Physics B …, 1996 - iopscience.iop.org
A realistic three-parameter correlated wavefunction is used to construct an exact analytical
expression for the expectation value of the helium-atom Hamiltonian expressed in the …

Coordinate systems and analytic expansions for three-body atomic wavefunctions. II. Closed form wavefunction to second order in r

JE Gottschalk, PC Abbott… - Journal of Physics A …, 1987 - iopscience.iop.org
For pt. I, see ibid., vol. 20, no. 8, p. 2043-75 (1987). Several coordinate systems for solving
the few-electron Schrodinger equation are presented. Formal solutions corresponding to …

Highly compact wave functions for He-like systems

FE Harris, VH Smith - The Journal of Physical Chemistry A, 2005 - ACS Publications
Wave functions which are compact, but still quite accurate, are extremely valuable as tools
for gaining understanding of quantum systems. This paper investigates the use for that …

VMC optimization of ultra-compact, explicitly-correlated wave functions of the Li isoelectronic sequence in its lowest 1s2s2p quartet state

DJ Nader, BM Rubenstein - Chemical Physics Letters, 2024 - Elsevier
A compact yet accurate approach for representing the wave functions of members of the He
and Li isoelectronic series is using explicitly correlated wave functions. These wave …

Precise nonvariational calculation of the positronium negative ion

MI Haftel, VB Mandelzweig - Physical Review A, 1989 - APS
The three-body Schrödinger equation is solved directly for the ground state of the
positronium negative ion by using a rapidly convergent correlation function hyperspherical …

Correlation-function hyperspherical harmonic calculations of the ppμ, ddμ, and ttμ molecular ions

MI Haftel, VB Mandelzweig - Physical Review A, 1990 - APS
The direct solution of the Schrödinger equation for the ground state of the ppμ, ddμ, and ttμ
molecular ions is obtained with the help of the correlation-function hyperspherical harmonic …

Correlated wavefunctions for two-electron systems using new screened hydrogen-like orbitals

A Moumeni, O Dulieu, C Le Sech - Journal of Physics B: Atomic …, 1990 - iopscience.iop.org
A simple correlated wavefunction (with explicit dependence upon the interelectronic
distance r 12) is presented. The use of new screened hydrogen-like orbitals allows the …

Double ionization of helium in fast ion collisions: comparative study of model wavefunctions

S Keller, B Bapat, R Moshammer… - Journal of Physics B …, 2000 - iopscience.iop.org
Recently, the doubly differential cross section for double ionization of helium by fast bare
carbon ions has been measured as a function of the longitudinal momentum components of …

Two-parameter wavefunction for the ground state of the helium isoelectronic sequence

DN Tripathy, B Padhy, DK Kais - Journal of Physics B: Atomic …, 1995 - iopscience.iop.org
A simple two-parameter wavefunction for the ground state of two-electron atoms has been
obtained by introducing variational parameters in the Hamiltonian rather than in the trial …