For the
TIPT
of a 2 electrion atom,
,
. In general
. Oth
order
solution is
where
and
where
. For 2 electrons,
. Lowest state has degeneracy 0. For first excited state, degeneracy is 16.
for
for
.
Multipole expansion of Coulomb interaction:
where
so
source
psfile
jl@crush.caltech.edu
index
variational_helium
for 
for 
.
, 
. In general 
. Oth order
solution is 
where 
and 
where 
. For 2 electrons, 
. Lowest state
has degeneracy 0. For first excited state, degeneracy is 16.
where 
so 
