Recursion relations for Hylleraas three-electron integral
arXiv:physics/0405057 · doi:10.1103/PhysRevA.70.032502
Abstract
Recursion relations for Hylleraas three-electron integral are obtained in a closed form by using integration by parts identities. Numerically fast and well stable algorithm for the calculation of the integral with high powers of inter-electronic coordinates is presented.
12 pages, requires RevTeX4, submitted to Phys. Rev. A
References in corpus (2)
Cited by in corpus (16)
- Ground state wave function and energy of the lithium atom
- Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be
- Higher-order effective Hamiltonian for light atomic systems
- Ground state of Li and Be using explicitly correlated functions
- Fine and hyperfine splitting of the 2P state in Li and Be
- Two-center two-electron integrals with exponential functions
- Dipole Excitation of Dipositronium
- Extended Hylleraas three-electron integral
- On a three-dimensional symmetric Ising tetrahedron, and contributions to the theory of the dilogarithm and Clausen functions
- Recurrence Formulas for Fully Exponentially Correlated Four-Body Wavefunctions
- D1 and D2 lines in Li including QED effects
- Ground state hyperfine splitting in the Be ion
- Analytical two-center integrals over Slater geminal functions
- Singular Hylleraas three-electron integrals
- Correlation energies for many-electron atoms with explicitly correlated Slater functions
- Variational Calculations of Positronium Scattering with Hydrogen