By Christoph KOUTSCHAN Doron ZEILBERGER
If you want to see a whole computer-generated paper, done completely automatically
(both the Pekeris part and the Accad part) reproducing, ab initio sections 1-4
of Pekeris' seminal paper, including Table III, using the largest ω as 11 (as in that paper)
the input
gives the output.
The above output file only reproduced the values in Pekeris' paper, for Z from 1 to 10.
If you want an extended table for Z from 1 to 100 (in addition to doing all the rest)
the input
gives the output.
(Note that the dependence on Z, not surprisingly, is almost linear)
If you want to see a whole computer-generated paper, done completely automatically
(both the Pekeris part and the Accad part) reproducing, ab initio sections 1-4
of Pekeris' seminal paper, including Table III, but with the largest ω equal to 16,
getting a higher accuracy
the input
gives the output.
If you want to see a whole computer-generated paper, done completely automatically
(both the Pekeris part and the Accad part) reproducing, ab initio sections 1-4
of Pekeris' seminal paper, including Table III, but with the largest ω equal to 21,
getting even a higher accuracy
the input
gives the output.
If you want to see a whole computer-generated paper, done completely automatically
(both the Pekeris part and the Accad part) reproducing, ab initio
the energy calculation in C. L. Pekeris' follow-up paper (1 ^{1}S and 2 ^{3}S States of Helium,
Phys. Rev. v.115(5), 1216-1221), for the ortho state (sec. 3) but not just for Helium (Z=2) but
for all Z from 1 to 10,
the input
gives the output.
If you want to see the above but with Z from 1 to 62
the input
gives the output.