Ground state wave function and energy of the lithium atom

Abstract

Highly accurate nonrelativistic ground-state wave function and energy of the lithium atom is obtained in the Hylleraas basis set. The leading relativistic corrections,as represented by Breit-Pauli Hamiltonian, are obtained in fair agreement with the former results. The calculational method is based on the analytical evaluation of Hylleraas integrals with the help of recursion relations.

References in corpus (8)

• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• QED calculation of the n=1 and n=2 energy levels in He-like ions
• Nonrelativistic ionization energy for the helium ground state
• Higher-order effective Hamiltonian for light atomic systems
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Ionization Potential of the Helium Atom
• Recursion relations for Hylleraas three-electron integral
• Extended Hylleraas three-electron integral

Cited by in corpus (31)

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• QED treatment of electron correlation in Li-like ions
• Isotope Shift Measurements of Stable and Short-Lived Lithium Isotopes for Nuclear Charge Radii Determination
• Ground state of Li and Be${}^{+}$ using explicitly correlated functions
• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$
• Explicitly correlated wave function for a boron atom
• Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics
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• Helium- and Lithium-like ionic sequences: Critical charges
• Recurrence Formulas for Fully Exponentially Correlated Four-Body Wavefunctions
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• Natural Extension of Hartree-Fock through extremal $1$-fermion information: Overview and application to the lithium atom
• An accurate few-parameter ground state wave function for the Lithium atom
• Applications of four-body exponentially correlated functions
• Ground state hyperfine splitting in the Be${}^{+}$ ion
• Analytical two-center integrals over Slater geminal functions
• Potential energy curve for the $a^3{\Sigma }_u^{+}$ state of lithium dimer with Slater-type orbitals
• Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. I. Ground state
• Analytic model of a multi-electron atom
• Singular Hylleraas three-electron integrals
• Compact and accurate variational wave functions of three-electron atomic systems constructed from semi-exponential radial basis functions
• Towards the analytic theory of Potential Energy Curves for diatomic molecules. Studying He${}_2^{+}$ and LiH diatomics as illustration
• Optimum and efficient sampling for variational quantum Monte Carlo
• Correlation energies for many-electron atoms with explicitly correlated Slater functions
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• Rovibrational computations for He${}_2^{+}$ X ${\Sigma }_{\mathrm{u}}^{+}$ including non-adiabatic, relativistic and QED corrections
• Variational Calculations of Positronium Scattering with Hydrogen
• Rovibrational computations for the He${}_2$ a ${}^3{\Sigma }_{\mathrm{u}}^{+}$ state including non-adiabatic, relativistic, and QED corrections