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Shapes of potentials

  1. Nov 14, 2005 #1
    shapes of potentials!!

    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!
     
  2. jcsd
  3. Nov 15, 2005 #2
    In light nuclei it as approximately parabolic.

    In heavy nuclei (uranium), alpha particles are often modelled as moving in a square well + Coulomb repulsion.
    Ask your teacher to explain it one more time.
     
  4. Nov 15, 2005 #3
    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?
     
  5. Nov 15, 2005 #4

    Claude Bile

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    Science Advisor

    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.
     
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