The Klein-Gordon Equation
Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 0, Vol 13, Issue 2
Abstract
Two solutions to the Klein-Gordon equation are found. The existence of a maximum relativistic correction of 2 is thus indicated. The normal relativistic correction is given by the usual solution. A certain Hilbert Space is used to find the solutions using a group theory taught at LSU and the Texas Method of Math also taught at LSU. The usefulness of group theoretical manipulations in Hilbert Space is indicated. A lemma is proved using this group theory that predicts a charge of +/-1 is the only values of charge possible. The usefulness of the second solution to the Klein-Gordon equation of a maximum of 2 for the relativistic correction is basic to the mass predictions in [3]. The fact that the energy reaches mc^2 indicates a dipole spinning at velocity c. The dipole is spinning in a magnetic field created by other particles so it creates charge.
Authors and Affiliations
Jim Goodman
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