at t=0,

Turn on perturbation and at a later time, what is the probability of a transition from ?

with then p(transition) = .

Use time dependent schrodinger equation to get:

. Projecting out, you get: . .

The time dependent perturbation expansion gives:

. Do a series expansion. This gives:

Example:

source

psfile jl@crush.caltech.edu index

oscillating_magnetic_field

perturbation_theory