tex2html_wrap214

Projecting onto tex2html_wrap215 you get: tex2html_wrap216 . if tex2html_wrap217 is known to tex2html_wrap218 then tex2html_wrap219 is known to tex2html_wrap220 .

Expansion for tex2html_wrap217 : tex2html_wrap222 (defining V)

tex2html_wrap223 . Note that tex2html_wrap217 is not normalized.

Define tex2html_wrap225 . Then tex2html_wrap226 . Note that tex2html_wrap227 and tex2html_wrap228 , tex2html_wrap229 , and tex2html_wrap230 . normalization: tex2html_wrap231 . Define tex2html_wrap232 . Then tex2html_wrap233 tex2html_wrap234 . Then tex2html_wrap235

  1. zeroth order: tex2html_wrap236 , tex2html_wrap237
  2. 1st order: tex2html_wrap238 , tex2html_wrap239 tex2html_wrap240 tex2html_wrap241 which breaks down for degeneracy.
  3. 2nd order: tex2html_wrap242 tex2html_wrap243 , tex2html_wrap244 tex2html_wrap245
  4. higher orders: tex2html_wrap246 , and tex2html_wrap247

In general, corrections get smaller.


source
psfile jl@crush.caltech.edu index
time_independent_perturbation_theory
perturbation_theory
variational_helium
TDPT