Mariusz Puchalski

Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be +

Accurate results for nonrelativistic energy, relativistic, QED, and finite nuclear mass corrections are obtained for

Relativistic, QED, and nuclear mass effects in the magnetic shielding of H3e

2^1S_{1/2}

Ground state of Li and Be+ using explicitly correlated functions

,

Recursion relations for the generic Hylleraas three-electron integral

3^1S_{1/2}

Relativistic corrections for the ground electronic state of molecular hydrogen

and

Dipole Excitation of the Positronium Molecule Ps2

2^1P_{1/2}

Positronium-ion decay.

states of the Li atom and Be

Testing quantum electrodynamics in the lowest singlet states of the beryllium atom

^+

Fine and hyperfine splitting of the 2 P state in Li and Be

ion. Our computational approach uses the Hylleraas basis set with the analytic integration and recursion relations. From comparison of experimental results for the isotope shifts to theoretical predictions including nuclear polarizabilities, we obtain nuclear charge radii for Li and Be isotopes.

Ionization potential for excited S states of the lithium atom

The magnetic shielding sigma of (3)He is studied. The complete relativistic corrections of order O(alpha(2)), leading QED corrections of order O(alpha(3) ln alpha), and finite nuclear mass effects of order O(m/m(N)) are calculated with high numerical precision. The resulting theoretical predictions for sigma = 59.967 43(10)x10(-6) are the most accurate to date among all elements and support the use of (3)He as a NMR standard.