- #1
duranta23
- 3
- 0
Hi
I got to the following equation while going through a book. I can't figure out how the second line comes from the first. Can anyone please help me understand?
(1/2*\sum_{q=-Q}^Q V_s,q .H(w_q) .exp(iw_q t))^n is written as,
1/2^n * \sum_{q1=-Q}^Q \sum_{q2=-Q}^Q ... \sum_{qn=-Q}^Q V_s,q1 . V_s,q2 ... V_s,qn .H(w_q1).H(w_q2)...H(w_qn).exp(i(w_q1 +w_q2 +...w_qn).t)
Please forgive my poor latex style writing.
I got to the following equation while going through a book. I can't figure out how the second line comes from the first. Can anyone please help me understand?
(1/2*\sum_{q=-Q}^Q V_s,q .H(w_q) .exp(iw_q t))^n is written as,
1/2^n * \sum_{q1=-Q}^Q \sum_{q2=-Q}^Q ... \sum_{qn=-Q}^Q V_s,q1 . V_s,q2 ... V_s,qn .H(w_q1).H(w_q2)...H(w_qn).exp(i(w_q1 +w_q2 +...w_qn).t)
Please forgive my poor latex style writing.