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## Homework Statement

I was doing a condensed matter problem (3rd year) of a phonon dispersion relation for a monatomic linear chain. It asked told me to derive an expression for the density state per unit length and I obtained the following:

[itex] g(\omega) = \frac{L}{a\p} \frac{1}{4C/M - \omega^{2}}[/itex]

## Homework Equations

The singularity occurs at

[itex]\omega = 2(\frac{C}{M})^{1/2} [/itex]

## The Attempt at a Solution

Can someone explain the origin of this singularity?