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Shapes of potentials 
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#1
Nov1405, 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 Kspace in band theory! 


#2
Nov1505, 02:29 AM

P: 143

In heavy nuclei (uranium), alpha particles are often modelled as moving in a square well + Coulomb repulsion. 


#3
Nov1505, 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? 


#4
Nov1505, 05:40 PM

Sci Advisor
P: 1,472

Shapes of potentials
The kvector 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. 


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