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The decays of the Langmuir waves in dense plasmas are computed using thedielectric function theory widely used in the solid state physics.  Four cases are considered: a classical plasma, a Maxwellian plasma, adegenerate quantum plasma, and a partially degenerate plasma. The result isconsiderably different from the conventional Landau damping theory.

Decay of Langmuir wave in dense plasmas and warm dense matter