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Energy level of hydrogen atom - with the electron replaced by a positron

  1. Oct 20, 2011 #1
    Energy level of hydrogen atom -- with the electron replaced by a positron

    The energy level of a hydrogen atom is given by (without fine structure consideration)

    Eh = -13.6 eV / n^2

    Suppose -- if the electron is replaced by a positron, what would happen to this energy level?

    The resulting system is not in a bound state since E > 0 (V(infinity) = 0) but a continuum state (or scattering state?), which implies no discrete energy level exist -- am I right?
     
  2. jcsd
  3. Oct 21, 2011 #2

    dextercioby

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    Re: Energy level of hydrogen atom -- with the electron replaced by a positron

    <The energy level of a hydrogen atom is given by (without fine structure consideration)

    Eh = -13.6 eV / n^2>

    This is only the discrete part of the spectrum. H-atom has a continuous spectrum as well, for E>=0.

    Can you prove your conclusion mathematically ?
     
  4. Oct 21, 2011 #3

    clem

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    Re: Energy level of hydrogen atom -- with the electron replaced by a positron

    You are right.
     
  5. Oct 21, 2011 #4

    xts

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    Re: Energy level of hydrogen atom -- with the electron replaced by a positron

    Cm'n - the positron cannot form any stable structure with positively charged nucleus.

    Such speculations make no sense at all.
     
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