Equation for the density of states

phja
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i have an equation for the density of states that depends on 1/(sqrt E). i have lots of coefficients to this

[Vm^{3/2} w_c ] / [2 sqrt {2} pi^2 hbar^2]

do these coefficients represent the degeneracy of the desity of states?
 
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Could you give a bit more context please? is w_c = \omega_c?
I which case what is c?
 

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