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Questions tagged [diracdelta]

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3 votes
2 answers
131 views

Plot of Density of States Using DiracDelta Function [duplicate]

I am trying to plot the density of states $$ N(E)= \frac{1}{N}\Sigma_{k} (\delta{(E - \epsilon_{k}))} $$ where $\epsilon_{k} = -2t*[cos(k_x)+cos(k_y)]$ and $k$ goes from $-\pi$ to $\pi$. For this plot,...
CuriousMind's user avatar
1 vote
0 answers
43 views

Issue about simplify dirac delta function [duplicate]

When I trying to simplify a dirac delta equation, I got the following result. The result confused me. How can I make the second equation output true ...
Lichun Chang's user avatar
3 votes
1 answer
109 views

`FullSimplify` is failing to combine terms with `DiracDelta` functions

DiracDelta[x] + Pi DiracDelta[x] == (1 + Pi) DiracDelta[x] is obviously true by inspection. And yet, ...
tparker's user avatar
  • 1,856
0 votes
0 answers
87 views

Speed up the integration of HeavisideTheta over the range from zero to infinity

The problem is described in the following figure. Mathematica version 14.0, OS windows 10 LTSC. The integration interval is [0,infinity), and the value of HeavisideTheta in the point 0 is 0. we can ...
likehust's user avatar
  • 693