Question

Which of the following correctly represents the density of states D(E) for quantum well :
(Here, $K_o, K_1, K_2, K_3$ are constants; $d_i$ are degeneracies; $E_{iw}$ energy of level "$i$" in potential well)

• A. $D(E) = K_2 \sum d_i$
• B. $D(E) = \frac{1}{2} K_1 \sum d_i (E-E_{iw})^{-1/2}$
• C. $D(E) = K_o \sum d_i \delta(E-E_{iw})^2$
• D. $D(E) = \frac{3}{2} K_3 E^{1/2}$

Hint:

Memorize the DOS energy dependencies: 3D is $\sqrt{E}$, 2D is a constant step $E^0$, 1D is $1/\sqrt{E}$, and 0D is a delta point $\delta(E)$.

Answer 1

The Correct Option is A