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An elecetron is placed inside an infite box. Quantum Mechanics

  1. May 12, 2014 #1
    1. The problem statement, all variables and given/known data

    An e- is placed inside an "infinite box". If the box is .1nm wide, what is the minimum energy and momentum of the e-? Start from the fundamental wavelength and prove the equation you are using to calculate the energy and momentum.

    2. Relevant equations



    3. The attempt at a solution

    Wait... What's the fundamental wavelength business?
     
  2. jcsd
  3. May 12, 2014 #2
    The electron in a box forms standing waves. These standing waves are called harmonics. The first harmonic is called the fundamental frequency and corresponds to the electron's ground state.

    I wouldn't call that box "infinite" though.
     
  4. May 13, 2014 #3
    Ah cool. Then n=1 and

    L=nλ/2

    I got it from there. Thanks.
     
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