Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 16.6-1

ENTROPY AND DISORDER; GENERALIZED CANONICAL FORMULATIONS

Physics — Statistical Mechanics · density-of-states-energy-interval

Problem

Show that the number of orbital states in the energy interval dε=ℏ dωd\varepsilon = \hbar\, d\omega is D(ε)=D′(ω)/ℏD(\varepsilon) = D'(\omega)/\hbar, where D′(ω) dωD'(\omega)\,d\omega is the number of orbital states in the frequency interval dωd\omega.

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