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I was asking myself a few questions about the selection rules for EM dipole radiation which occurs if electrons "jump" into lower bound states according to the selection rules.

now I know that the full explanation about matrix elements of the dipole operator comes from fermi's golden rule... which I will learn next semester... but apart from that...we have 2 considerations:

1) Parity... parity has to change... ok i got this

2) Conservation of angular momentum:

we have

**j**

_{i}=

**j**

_{[tex]\gamma[/tex]}+

**j**

_{f}

and we assume that

**j**

_{[tex]\gamma[/tex]}=1

WHY is this angular momentum 1??

I guess it has something to do that the cartesian components of the Dipole operator are proportional to linear compinations of the spherical harmonics Y

_{1,m}but I don't get this point at all....

I'd highly appreciate your help!

thanks in advance