  Ground and excited states of a confined negative Hydrogen ion has been
pursued under Kohn-Sham density functional approach by invoking a physically
motivated work-function-based exchange potential. The exchange-only results are
of near Hartree-Fock quality. Local parameterised Wigner-type, and gradient-
and Laplacian-dependent non-local Lee-Yang-Parr functionals are chosen to
investigate the electron correlation effects. Eigenfunctions and eigenvalues
are extracted by using a generalized pseudospectral method obeying Dirichlet
boundary condition. Energy values are reported for 1s$^{2}$ ($^{1}$S), 1s2s
($^{3,1}$S) and 1s2p ($^{3,1}$P) states. Performance of the correlation
functionals in the context of confinement is examined critically. The present
results are in excellent agreement with available literature. Additionally,
Shannon entropy and Onicescu energy are offered for ground and low lying singly
excited 1s2s ($^{3}$S) and 1s2p ($^{3}$P) states. The influence of electron
correlation is more predominant in the weaker confinement limit and it decays
with an increase in confinement strength. In essence, energy and some
information measures are estimated using a newly formulated density functional
strategy.
