Quantum particle in a 2 dimensional box

  1. jcsd
  2. malawi_glenn

    malawi_glenn 4,725
    Science Advisor
    Homework Helper

    Hi there, I also study @ Uppsala ;) physics..

    It has to do with the parity of the wave functions. Look on the symmetries around x=0. Ground state has zero nodes, 1st excited has one etc. Skiss the potetial and search for symmetry points.
  3. StatusX

    StatusX 2,565
    Homework Helper

    Note there's no qualititative difference between the x and y directions. You could write the wavefunction more symmetrically as:

    [tex] \psi_{nm} = C \sin \left( n \pi \frac{x-(-A)}{A-(-A)} \right) \sin \left( m\pi \frac{y-0}{B-0}\right) [/tex]

    They just used some trig identities to rewrite this.
    Last edited: Jun 6, 2007
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