- #1
Martin89
- 25
- 1
- Homework Statement
- See below
- Relevant Equations
- 2D density of states ##g\left(E \right)=\frac{m^{*}}{\pi\hbar^2}##
Fermi energy in a quantum cascade laser ##E_{F}=E_{i}+k_{B}Tln\left[exp\left(\frac{\pi\hbar^2n^{2D}}{k_{B}Tm^{*}} \right)-1\right]##
Problem Statement: See below
Relevant Equations: 2D density of states ##g\left(E \right)=\frac{m^{*}}{\pi\hbar^2}##
Fermi energy in a quantum cascade laser ##E_{F}=E_{i}+k_{B}Tln\left[exp\left(\frac{\pi\hbar^2n^{2D}}{k_{B}Tm^{*}} \right)-1\right]##
I've been stuck on this problem for a few days now, I really can't see how to proceed. I believe I have successfully completed the first part of the question but can't do the second part. I have found the equation for the Fermi energy in a quantum cascade laser but it depends on temperature and I am not given a temperature to work with. Any help would be really appreciated.
Relevant Equations: 2D density of states ##g\left(E \right)=\frac{m^{*}}{\pi\hbar^2}##
Fermi energy in a quantum cascade laser ##E_{F}=E_{i}+k_{B}Tln\left[exp\left(\frac{\pi\hbar^2n^{2D}}{k_{B}Tm^{*}} \right)-1\right]##
I've been stuck on this problem for a few days now, I really can't see how to proceed. I believe I have successfully completed the first part of the question but can't do the second part. I have found the equation for the Fermi energy in a quantum cascade laser but it depends on temperature and I am not given a temperature to work with. Any help would be really appreciated.