Register to reply

Shapes of potentials

by photon79
Tags: potentials, shapes
Share this thread:
photon79
#1
Nov14-05, 05:48 PM
P: 60
Hi all..

1)we have,for example,rectangular, square well, well type etc potentials. How is the shape of a potential is determined? What is the shape of the nucleus potential?

2)I am unable to get the physical importence of the wave vector 'K' and K-space in band theory!
Phys.Org News Partner Physics news on Phys.org
Interfaces within materials can be patterned as a means of controlling the properties of composites
A new, tunable device for spintronics
Researchers study gallium to design adjustable electronic components
Pieter Kuiper
#2
Nov15-05, 02:29 AM
P: 143
Quote Quote by photon79
1) What is the shape of the nucleus potential?
In light nuclei it as approximately parabolic.

In heavy nuclei (uranium), alpha particles are often modelled as moving in a square well + Coulomb repulsion.
2)I am unable to get the physical importence of the wave vector 'K' and K-space in band theory!
Ask your teacher to explain it one more time.
Kruger
#3
Nov15-05, 06:26 AM
P: 219
The wave vector k is identically to: abs(k)=2pi/lambda and momentum=h(bar)k. So you can think of it as the inverse of the wave length of a wave. Its more confortable to write psy(x)=exp(kx) than psy(x)=exp(2pi/lambda*x).
If we work in more dimensions k must be a vector and as you can see in the wave function lambda must therefor also be a vector. And 2pi/VECTOR seems to look strange.

You see?

Claude Bile
#4
Nov15-05, 05:40 PM
Sci Advisor
P: 1,477
Shapes of potentials

The k-vector gives the direction of wave propagation. The magnitude of k is proportional to the momentum of the wave, which as we know is related to the wavelength.

Claude.


Register to reply

Related Discussions
3-D shapes General Math 2
3-D Shapes General Math 0
4D Shapes General Physics 6
Caliabau-Yau Shapes Beyond the Standard Model 1
A square has 360 degrees, if you measure the degrees on the outside, General Physics 3