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Coordinate-Space Harmonic-Tensor Reformulation of the Quantum Coulomb Problem

A modification of Fock's theory that leaves momentum space for a four-dimensional coordinate space in which the hydrogen-atom Schrodinger equation becomes the 4D Laplace equation, using invariant harmonic-tensor methods to obtain eigenfunctions, the quadratic Stark effect, and the Schwinger resolvent algebraically.

Dr. Harry Seldon Text

Coordinate Space Modification of Fock's Theory-Harmonic Tensors in the Quantum Coulomb Problem

We consider Fock's fundamental theory of the hydrogen atom in momentum space which allows a realization of the previously predicted rotation group of a three-dimensional (3D) sphere in four-dimension…