Density of states


by kasse
Tags: density, states
kasse
kasse is offline
#1
Nov13-08, 07:52 AM
P: 464
1. The problem statement, all variables and given/known data

We study a one dimensional metal with length L at 0 K, and ignore the electron spin. Assume that the electrons do not interact with each other. The electron states are given by

[tex]\psi(x) = \frac{1}{\sqrt{L}}exp(ikx), \psi(x) = \psi(x + L) [/tex]

What is the density of states at the Fermi level for this metal?

3. The attempt at a solution

The total energy of the system is [tex]E = \frac{\hbar^{2}\pi^{2}n^{2}}{2mL^{2}}[/tex] where n is the square of the sums of the three quantum numbers that determine each quantum state.

At a certain energy all states up to [tex]E_{F}(0)=E_{0}n^{2}_{F}[/tex] is filled.
Phys.Org News Partner Science news on Phys.org
SensaBubble: It's a bubble, but not as we know it (w/ video)
The hemihelix: Scientists discover a new shape using rubber bands (w/ video)
Microbes provide insights into evolution of human language
kasse
kasse is offline
#2
Nov15-08, 07:09 AM
P: 464
No ideas?


Register to reply

Related Discussions
Density of states General Physics 0
Density of states?? Quantum Physics 1
Density of states Atomic, Solid State, Comp. Physics 3
what is the essentail difference between local density of states and density of state Atomic, Solid State, Comp. Physics 2
Help, Density of States Atomic, Solid State, Comp. Physics 1