Question: Determine the k = 0 plasmon frequency for a gas of electrons with mass equal to the free electron mass, in a system with low-frequency

Determine the k = 0 plasmon frequency for a gas of electrons with mass equal to the free electron mass, in a system with low-frequency dielectric constant ϵ = 2ϵ₀, and density 10¹⁹ cm⁻³. A convenient unit conversion is e²/4πϵ₀ = 1.44 × 10⁻⁷ eV-cm.

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