Can somebody identify this equation for me?

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The equation discussed appears to relate to relativistic quantum mechanics and resembles an altered form of the complex Fourier series. It likely pertains to energy distribution across frequencies and utilizes dummy indices similar to tensor calculus notation. The consensus identifies it as the general solution of the wave equation for a classical string with tension α' and length L. This conclusion aligns with Polchinski's String Theory, specifically equation 1.3.22. The participants express gratitude for the clarification on the equation's identity.
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I can't quite place it
 
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Link doesn't work.

- Warren
 
sorry, does it work now?
 
Yeah. I don't know what it is, but it looks like something in relativistic quantum mechanics.

- Warren
 
It looks like an altered form of the complex Fourier series. BAsed on that i think it deals with energy distribution across frequencies, but beyond that i am not sure. The first line uses dummy indices in a form similar to the notation uses in tensor calculus, so i think chroot may be right.
 
It's the general solution of the wave equation for a (classical) string with tension \alpha' and length L. Compare Polchinski's String Theory, equation 1.3.22.
 
Originally posted by selfAdjoint
It's the general solution of the wave equation for a (classical) string with tension \alpha' and length L. Compare Polchinski's String Theory, equation 1.3.22.

well, we were way off.
 
thanks everyone!
 
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