Monday, February 1, 2010

Fermi's golden rule

Fermi's golden rule is a thing in quantum physics. Fermi was an Italian-American physicist who lived in the first half of the 20th century.

According to Wikipedia, Fermi's golden rule can be summed up like this:

"We consider the system to begin in an eigenstate | i\rangle of a given Hamiltonian H0. We consider the effect of a (possibly time-dependent) perturbing Hamiltonian H'. If H' is time-independent, the system goes only into those states in the continuum that have the same energy as the initial state. If H' is oscillating as a function of time with an angular frequency ω, the transition is into states with energies that differ by \hbar\omega from the energy of the initial state. In both cases, the one-to-many transition probability per unit of time from the state | i \rangle to a set of final states | f\rangle is given, to first order in the perturbation, by

 T_{i \rightarrow f}= \frac{2 \pi} {\hbar}  \left | \langle f|H'|i  \rangle \right |^{2} \rho,

where ρ is the density of final states (number of states per unit of energy) and  \langle f|H'|i  \rangle is the matrix element (in bra-ket notation) of the perturbation H' between the final and initial states."

Jesus' golden rule was "Do unto others as you would have them do unto you."

I like Jesus' better.


On the other hand, Jesus doesn't have a lab named after him.
Photo: Michael Kappel via Flickr (CC)

4 comments:

  1. how am i supposed to learn something new everyday if you skip days? stop being selfish.

    ReplyDelete
  2. Dear K K,

    While I appreciate your enthusiasm for Wikibloogia, you clearly haven't read the slogan very closely. It explicitly says "You learn something new every day maybe."

    Maybe.

    That said, you're right. I will try to bloog every day.

    For you.

    Sincerely,

    Wikibloogia

    ReplyDelete
  3. wait, i thought the maybe part meant that some of your posts would be ridiculous. yes? no? maybe.

    either way, i appreciate your commitment.

    ReplyDelete
  4. Okay you got me. That's what maybe meant.

    ReplyDelete