3. For free particles in two dimensions, what is density of states (DOS) in low speed limit (=p2/2m), and in high speed limit (=pc)?

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3. For free particles in two dimensions, what is the density of states (DOS) in the low-speed limit \((\varepsilon = p^2/2m)\), and in the high-speed limit \((\varepsilon = pc)\)?
Transcribed Image Text:3. For free particles in two dimensions, what is the density of states (DOS) in the low-speed limit \((\varepsilon = p^2/2m)\), and in the high-speed limit \((\varepsilon = pc)\)?
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