nkodama
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Reactions Received109
Jul 11th 2021
#10
Quote from RobertBryant
its interesting that way back in 1935..
Fock found that SO(4) could be involved in the electron-proton system..
“
Fock then goes on to derive addition theorems for the
four-dimensional spherical harmonics, and applies his method to
other atoms than hydrogen by introducing an eective nuclear
charge.
Fock’s calculation ‘explains’ the SO(4)-symmetry by showing that
the Schrödinger equation in R3
is secretly the Laplace equation on S3 C R4
, on which SO(4) acts.
Why this should be the case remains mysterious.
http://www.physics.smu.edu/scalise/P5382fa15/fock.pdf
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I review the paper of SO(4) symmetry but this is the theory of relativistic hydrogen atom.
https://arxiv.org/pdf/0711.0049.pdf
But this does not include the V(r) potential as is =1/r at r=o potential is infinite and cause the huge error.
So electron deep orbit theory corrected this potential at r=0 by distributing positive charge uniformly inside the nucleus.
But Relativistic hydrogen atom theory does not include this potential abnormality.
so both are totally different although the terminology is similar.
So for cold fusion we must focus on electron deep orbit theory not SO(4) symmetry of RHA.
RHA theory is related to the quantum number of n,l,s, not related to the incorrect coulomb potential.
https://en.wikipedia.org/wiki/…Runge%E2%80%93Lenz_vector