Question

In: Physics

Please derive the expression of density of states for quantum wells and based on the result...

Please derive the expression of density of states for quantum wells and based on the result of your derivation, please make comment about the advantages of quantum-well lasers as compared to bulk lasers as much as possible.

Thanks in advance!!!

Solutions

Expert Solution

I try to make the derivation as simple as it is. I am attaching my handwritten notes, hope u will understand... Thank you ?

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

Derive the expression of density of states for quantum wells and based on the result of...
Derive the expression of density of states for quantum wells and based on the result of your derivation make comment about the advantages of quantum-well lasers as compared to bulk lasers.
Derive the expression of density of states for quantum wells and based on the result of...
Derive the expression of density of states for quantum wells and based on the result of your derivation make comment about the advantages of quantum-well lasers as compared to bulk lasers.
Question (a) Derive linear density expression for FCC [100] direction and    (b) planar density expression for...
Question (a) Derive linear density expression for FCC [100] direction and    (b) planar density expression for BCC (100) plane in terms of the atomic radius R.
Derive the density of states of electrons in a three dimensional solid. Using this density of...
Derive the density of states of electrons in a three dimensional solid. Using this density of states show that the specific heat of electrons (which is a fermion) in a three dimensional solid is linear in temperature T.
Derive the energy density for the magnetic field in a solenoid and use that result along...
Derive the energy density for the magnetic field in a solenoid and use that result along with the result for the electric energy density derived in class to find the time dependent Poynting vector.
Derive the density of states for free electrons as a function of energy E in 1)...
Derive the density of states for free electrons as a function of energy E in 1) one-dimension, 2) twodimension, and 3) three-dimension (N=total number of electrons, m=electron mass, V=volume of solid) (Hint: First, derive the total number of electrons as a function of k)
<Quantum tunneling> State and derive transmission probability
<Quantum tunneling> State and derive transmission probability
If there are 3 quantum wells separated by the same distance in a 1-D array with...
If there are 3 quantum wells separated by the same distance in a 1-D array with wavefunction ψ1 , ψ2 , and ψ3 for these three quantum wells respectively. The electrons only acts on the neighboring electrons with perturbation energy H’ = -|ΔE|. If the original eigen energy of ψ1 , ψ2 , or ψ3 is E1, try to use degenerate perturbation theory to calculate and sketch the new eigen energies for this array with 3 quantum wells.
2. 2D Density of States (~Kasap 4.9) Kasap Section 4.5 (in 4th Ed.) derives an expression...
2. 2D Density of States (~Kasap 4.9) Kasap Section 4.5 (in 4th Ed.) derives an expression for the density of states for electrons in a 3D infinite potential well (3D Sommerfeld box). This derivation is similar to the one we did in class. a. Following the approaches used in the 3D derivations, consider an electron confined to a 2D infinite potential well and derive an expression for the 2D density of states, g2D, which is the number of states per...
a. State the ampere circuital law b. Derive expression for inductance of a Toroid? c. Derive...
a. State the ampere circuital law b. Derive expression for inductance of a Toroid? c. Derive the set of Maxwell’s equations with solutions in the integral form from the fundamental laws of a good conductor? d. Derive the expression for torque developed in a rectangular closed circuit current (I) in a uniform field?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT