General question about correct notation

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  • Thread starter MarkoA
  • Start date
  • #1
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Hi,

I have a question about how to write down the following problem in a thesis.

I have a standing sinusodial wave with amplitude:
[tex]|\hat{q}_n|[/tex]
which I want to express as superposition of two traveling waves. Would you suggest do write the sum in the last line like I did, or has somebody a better idea?

[tex]
\DeclareMathOperator{\e}{e}
\begin{split}
w &= |\hat{q}_n| \sin(n\pi x/L) \e^{i\omega t} \\
&= |\hat{q}_n| \frac{1}{2i}(\e^{i n \pi x/L} - \overline{\e^{i n \pi x/L}}) \e^{i\omega t} \\
&= |\hat{q}_n| \e^{i\omega t} \sum_{\nu = \pm n} \frac{\nu}{2i} \e^{i \nu \pi x/L} \; .
\end{split}
[/tex]

Thanks!
 

Answers and Replies

  • #2
34,976
11,164
I think I would just keep it as two separate terms. Where is the point of a sum symbol?
 

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