Commit d132cc22 authored by Isidora Araya's avatar Isidora Araya
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Update 14_doping_and_devices_solutions.md

parent 420a6a20
......@@ -83,10 +83,11 @@ $$ I_s(T) \propto e^{-E_{gap}/k_BT}$$
![](figures/diagram_14.png)
### Subquestion 2
This a "particle in a box" problem.
$$-\frac{\hbar^2}{2m_e^{\ast}} \frac{\partial^2 \Psi_e(z)}{\partial z^2} = (E-U_0)\Psi_e $$
$$-\frac{\hbar^2}{2m_h^{\ast}} \frac{\partial^2 \Psi_h(z)}{\partial z^2} = (E-U_0)\Psi_h $$
$$-\frac{\hbar^2}{2m_e^{\ast}} \frac{\partial^2 \Psi_e(z)}{\partial z^2} = (E_e-E_c)\Psi_e $$
$$-\frac{\hbar^2}{2m_h^{\ast}} \frac{\partial^2 \Psi_h(z)}{\partial z^2} = (E_v-E_h)\Psi_h $$
### Subquestion 3
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