- #1
JohanL
- 158
- 0
If you have an operator which in spherical tensor language
[tex]
T^k_q
[/tex]
are
[tex]
V=T^2_2 + T^2_{-2} + T^2_0
[/tex]
you get a selection rule for j'
[tex]
abs(j-k)=< j' <= j+k
[/tex]
in my case i start with angular momentum j=1 and k=2 from above so
the possible new states are
[tex]
1=< j' <= 3
[/tex]
But the operator is even under parity and the angular momentum states have parity (-1)^j=-1 in my case.
What does this mean for the possible states j=1 can jump to?
from the selection rule above you get that
j=1 to j'=2
j=1 to j'=3
is possible but does the parity consideration remove any of these possibilities?
[tex]
T^k_q
[/tex]
are
[tex]
V=T^2_2 + T^2_{-2} + T^2_0
[/tex]
you get a selection rule for j'
[tex]
abs(j-k)=< j' <= j+k
[/tex]
in my case i start with angular momentum j=1 and k=2 from above so
the possible new states are
[tex]
1=< j' <= 3
[/tex]
But the operator is even under parity and the angular momentum states have parity (-1)^j=-1 in my case.
What does this mean for the possible states j=1 can jump to?
from the selection rule above you get that
j=1 to j'=2
j=1 to j'=3
is possible but does the parity consideration remove any of these possibilities?
Last edited: