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Neutron in gravitation field

  1. May 9, 2006 #1
    The situation involves a neutron in a constant gravitational field (g=9.8). I need to find the energies of photons that transition to the excited state. I solved the Schrodinger equation by doing a variable transformation using Airy functions. To fully solve, however, I need to find the roots of the Airy function. I looked these up in a table, but am unsure how they are related to the energy/wavelength I am trying to find. Do the roots (-2.33811, -4.08795, -5.52056,...) correspond to energies?
    Is there another equation I use to get the energies? I recall the E = -13.6 eV (1/n1^2 - 1/n2^2) and E = hc/lambda equations from previous physics courses? Can I apply these here?
  2. jcsd
  3. May 9, 2006 #2

    Andrew Mason

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    http://www.users.csbsju.edu/~frioux/neutron/neutron.htm" [Broken] may help you.

    Last edited by a moderator: May 2, 2017
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