Precise estimation of the energy levels of two-electron atoms under spherical confinement

摘要

The effect of spherical confinement on the ground state of helium-like ions (Z = 1-5) and the first four (~1S~e) excited states for Z = 2-5 have been analyzed in detail by using correlated Hylleraas basis sets within the variational framework. The correlated wave functions used here are consistent with the finite boundary conditions due to spherical confinement. The present energy values and the thermodynamic pressure generated for the confined ions as well as the critical values of the confining radii close to the fragmentation limit can be set as a benchmark for future references.