Ket and Bra with the momentum j,m

[brombenzol123]

Hi there!

I try to understand and to use graphical method in the theory of angular momentum. It is not very difficult to master is fundamentals excepting a few things. The most fundamental is the following.

In literature there is used the fact that Kat and Bra vectors with momentum j,m can be mutually permutated using
<jm| = (-1)^j-m |j, -m>. It is clear for integer j. But how to understand this fact, for example, in the case j = 1/2 ?

I would be glad if somebody could give me advice.

I'm absolutely novice at forums where scientific questions are discussed. So, first of all, I would be glad to see a few words about where else I can discuss such questions. What cites / forums are the most popular for these purposes?


With Best Regards,
Antony Gorkh.

[elfmotat]

It would be helpful if you mentioned what literature you've been reading. You appear to have set a bra vector equal to a ket vector, which doesn't make much sense.

[brombenzol123]

I used the book "Graphical method of spin algebras" by E. Elbaz and B. Castel. The formula (1.2.5) chapter 1, paragraph 2. I use Russian edition, so there may be some shift.

[brombenzol123]

I've solved the problem. The answer is here.