1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Conditions for quantised or continuous energies

  1. Apr 11, 2008 #1
    1. The problem statement, all variables and given/known data

    For a particle moving in a potential V(x), what are plausible forms of V(x) that give:

    (i) entirely continuous,

    (ii)entirely quantised

    (iii) both continuous and quantised

    energies of the particle? Sketch, with justification, the forms of V(x) for each of these 3 cases.


    2. Relevant equations



    3. The attempt at a solution

    (i) when the particle is free (V(x) is zero), the particles energies are continuous.

    (ii) When the particle is in an infinite potential well, the energies are quantised.

    (iii) I have no idea about this one. Can anyone help?
     
  2. jcsd
  3. Apr 11, 2008 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    How about a square well whose sides have finite potential instead of infinite? Can you explain why that would work?
     
  4. Apr 11, 2008 #3
    So it would have quantised energy inside the well (since it's confined) and continuous energies outside the well?
     
  5. Apr 11, 2008 #4

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    If you mean by 'in' that it has energy less than the wall energy, yes.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Conditions for quantised or continuous energies
  1. Quantisation of Charge (Replies: 1)

  2. Energy Quantisation (Replies: 3)

Loading...