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|    sci.physics.research    |    Current physics research. (Moderated)    |    17,516 messages    |
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|    Message 15,788 of 17,516    |
|    Jos Bergervoet to All    |
|    Hydrogen paradox    |
|    19 Aug 17 00:44:39    |
      From: jos.bergervoet@xs4all.nl              In solving the hydrogen atom we assume a 1/r electric potential.       But since the electron wave function squared is a source for the       electric field, this should be a screened potential. But if we       do that, then it will be quite different from 1/r. At large       distances it will vanish, and at distances around the Bohr radius       the potential will already be significantly reduced. The paradox:               1) Energy levels will become quite different from known hydrogen       levels with this changed potetial.        2) But without the change, we do not get the vanishing of the       field outside the atom, so the atom is not neutral!              How to easily resolve this? Can one use a 2-particle wave function        Psi_i_mu(x_e, x_p)       with the position coordinates x_e and x_p of the electron and the       photon respectively, and both their spin-indices?              Or is another simplification starting from full field theory       applicable? I can hardly imagine that an elaborate numerical       lattice approach is needed just to solve hydrogen without       inconsistent behavior for points 1) and 2) mentioned above..              --       Jos              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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