• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Fermi energy in a quantum well

  • Thread starter Martin89
  • Start date
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]##
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]##

Fermi Level.png


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.

20190507_164825.jpg
 

berkeman

Mentor
55,113
5,334
Your attachment is unreadable for me. Can you please make a better scan, or better yet, type your work into the forum window using LaTeX? There is a LaTeX tutorial under INFO, Help at the top of the page. Thank you.
 

Want to reply to this thread?

"Fermi energy in a quantum well" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top