Solution of Dirac Delta DOS Equation

[mahdi]

What is the solution of Dirac delta function of density of sate equation below:

DOS(E)=2/N ∑ ∫(1/dE_j(k)/dk).δ[Ej(k)-E]dE

 

[bsmile]

are you sure this expression makes sense? Maybe I miss something?

 

[Douasing]

What is the solution of Dirac delta function of density of sate equation below:

DOS(E)=2/N ∑ ∫(1/dE_j(k)/dk).δ[Ej(k)-E]dE

Hi,you can use " tex formula tex " to eidt your formula as follows

\frac{1}{2}Ax= b

and state your problem clearer.

 

[mahdi]

Thank you, I'm attaching the equation in word denouement.

 

[bsmile]

This is basically the density of state at energy E from N_hex bands. The delta function filters out the energy spectrum at E_j(k_t)=E. 1/|dE/dk| gives density of state at E from the given band

 

[mahdi]

Do you mean the final equation become like this DOS(E)=E. 1/|dEj/dk|

please do you have a reference of this solution ?

 

[bsmile]

should be DOS(E)= sum_j (1/|dEj/dk|). Take a look at Ashcroft and Mermin's solid state physics