Perturbation theory is divided into:

Perturbation theory is used for problems which are too difficult. tex2html_wrap155 . Assume H is dividable into a solvable part: tex2html_wrap156 with tex2html_wrap157 and tex2html_wrap158

Example: Helium tex2html_wrap159 The last term is tex2html_wrap160 , the other terms are just the solution for the hydrogen twice in a tensor product. Solution of tex2html_wrap161 , tex2html_wrap162 . Then tex2html_wrap163 .

In matrix language: tex2html_wrap155 so tex2html_wrap165 . Unfortunately, this is not easily solvable.

Method: start with one tex2html_wrap166 and see how it changes as tex2html_wrap160 is turned on. tex2html_wrap168 for tex2html_wrap169 very small.

Theory developed in perturbation expansion.




source
psfile jl@crush.caltech.edu index
time_independent_perturbation_theory
linearly_perturbed_QHO
fine_structure
formulas
DPT