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Quantum Potential Energy of SHM

  1. Feb 27, 2008 #1
    1. The problem statement, all variables and given/known data

    I have been asked to show that a particle of mass m executing simple harmonic motion with frequency f, has a potential energy

    V(x) = 2[tex]\pi^{2}[/tex]f[tex]^{2}[/tex]mx[tex]^{2}[/tex]

    2. Relevant equations

    3. The attempt at a solution

    I know that V(x) = 1/2m[tex]\omega^{2}[/tex]x[tex]^{2}[/tex] and that [tex]\omega[/tex]=2[tex]\pi[/tex]f

    but i can't find how to show this anywhere - not in the lecture notes, my books or the internet - im finding this quantum mechanics course a massive step up from all the other areas of physics!
  2. jcsd
  3. Feb 27, 2008 #2


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    Science Advisor
    Homework Helper

    This is a problem that could be given to you in a classical mechanics course aswell.

    What is the Spring-force (Hooks law), and how do you go from a (conservative)-Force to the potential?
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