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CMB: Sound Waves in the Early Universe

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Cold Dark Matter<br />

Models<br />

Theoretical<br />

Power Spectrum <br />

of <strong>the</strong> Mass Density<br />

δ k<br />

∫<br />

( ) = d 3<br />

( )<br />

x ⋅ e i k ⋅x δρ x<br />

ρ<br />

P ~ k n <br />

Ω m h =0.2<br />

P ~ k –3 <br />

δ( k 1 )δ( k 2 ) =<br />

( 2π) 3 P k 1<br />

( k 2 )<br />

( )δ <br />

3 k 1<br />

+ <br />

Power spectrum<br />

measurements<br />

probe cosmological<br />

parameters<br />

Ω m h =0.5<br />

k eq ~ Ω m h <br />

L<strong>in</strong>ear<br />

h/Mpc<br />

Non-l<strong>in</strong>ear

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