- #1
Haorong Wu
- 413
- 89
I'm learning Griffiths' QM (3rd edn).
In Chapter 11 (Quantum Dynamics), there is an expression I'm not familiar with:
## \left| C_b \right|^2 = \left[ - \frac i \hbar \int_0^t H'_{ba} \left( t' \right) e^{i \omega_0 t'} \, dt' \right] \left[ \frac i \hbar \int_0^t H'_{ba} \left( t' \right) e^{-i \omega_0 t'} \, dt' \right] =0 ## (to first order in ##H'##),
where ##H'## is a time-dependent perturbation of a two-level system.
There are some other places where the expression of "to the first order in H" appears. I can't remember anywhere I have learnd the expressions in calculus or other mathematics courses.
In Chapter 11 (Quantum Dynamics), there is an expression I'm not familiar with:
## \left| C_b \right|^2 = \left[ - \frac i \hbar \int_0^t H'_{ba} \left( t' \right) e^{i \omega_0 t'} \, dt' \right] \left[ \frac i \hbar \int_0^t H'_{ba} \left( t' \right) e^{-i \omega_0 t'} \, dt' \right] =0 ## (to first order in ##H'##),
where ##H'## is a time-dependent perturbation of a two-level system.
There are some other places where the expression of "to the first order in H" appears. I can't remember anywhere I have learnd the expressions in calculus or other mathematics courses.