Abstract
A formalism is developed for describing Lorentz deformation properties of extended hadrons in terms of solutions of the harmonic oscillator equation in the O(4) and light-cone coordinate systems. The physical hadronic wave function discussed in previous papers is written as a linear expansion of orthonormal functions in those coordinates which form representations of compact groups. The separability of the oscillator equation is shown to play the essential role in developing the proposed mathematics.
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