- #1

tanaygupta2000

- 208

- 14

- Homework Statement
- Enumerate the number of independent ways in which 2N spin-1/2's can be com-

bined to form a total spin-1. Here, N is an integer.

- Relevant Equations
- Addition of spins, s1 + s2 = S

s1 = s2 = 1/2

To the extent I understood this question, we have to enumerate the total no. of ways to get a total of spin S = 1 from 2N number of spin-1/2's.

Now, I think that by spin-1/2's, the question is referring to s1 = s2 = 1/2 (and not something like 3/2, 5/2, ...).

When N = 1, we have 1/2 + 1/2 => No. of ways = 1

When N = 2, we have 1/2 + 1/2 + 1/2 + 1/2 => No. of ways = 3 + 2 + 1 = 6

Likewise,

For N = N, No. of ways should be given by = (2N-1)+(2N-2)+(2N-3)+...+3+2+1

I am sure I'm missing many things here, this question carries 15 marks.

Kindly help !

Now, I think that by spin-1/2's, the question is referring to s1 = s2 = 1/2 (and not something like 3/2, 5/2, ...).

When N = 1, we have 1/2 + 1/2 => No. of ways = 1

When N = 2, we have 1/2 + 1/2 + 1/2 + 1/2 => No. of ways = 3 + 2 + 1 = 6

Likewise,

For N = N, No. of ways should be given by = (2N-1)+(2N-2)+(2N-3)+...+3+2+1

I am sure I'm missing many things here, this question carries 15 marks.

Kindly help !