Spin Quantum # in Triplet state

[phys_student1]

Hello,

For two spin 1/2 identical particles, the triplet state is:

|UP,UP>
1/√2 (|UP,DOWN> + |DOWN,UP>)
|DOWN,DOWN>

Q1: in the up,up or down,down, are the two electrons considered to have the same spin quantum number?

Q2: If so, then only the middle one (see above) is where they have different spin quantum numbers, right?

Q3: In the Singlet state, they have different spin quantum numbers, right?

 

[Meir Achuz]

The are two spin Q numbers. They have the same s^2, but different s_z.