Register to reply

How to calculate the transition rate

Share this thread:
Jul15-12, 09:47 AM
P: 1
1. The problem statement, all variables and given/known data
I have the usual equation for the transition amplitude:
A=< k|exp(-iHt)| j>,

while my Hamiltonian in Dirac notation looks like:

H=\sum E_a|a><a|+\sum_b (E_b|b><b|+V_1|0><b|+ V_2|b><0|)

In order to find the transition rate I should take a derivative as:
dA/dt, so that I will get something like:

A=< k|-iH*exp(-iHt)| j>

2. Relevant questions

Now, my question is:

how to treat it further?

3. The attempt at a solution

I know I should expand it with series for the exponent, but then I obtain in the middle this:
-iH(1+H)=-iH-iH2 that confuses me. I feel I am stucked in such an easy task. But the proble is that I cannot expand it with eigenvalues and eigenvectors which would simplify a lot my task....
Phys.Org News Partner Science news on
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker

Register to reply

Related Discussions
Calculate CO bond length from J=0 to J=1 transition Biology, Chemistry & Other Homework 4
Calculate natural line width of the transition Advanced Physics Homework 4
Optical transition rate for quantum wells Atomic, Solid State, Comp. Physics 0
QM : Transition Prob -> Decay Rate Advanced Physics Homework 0
Calculate rate? Introductory Physics Homework 2