Abstract
This paper is devoted to the study of angular conditions in the saturation of the chiral charge algebra atpz = ∞ within infinite one-particle states. We show that the previously introduced operatoru(ϑZ) cannot suffice to satisfy covariance constraints. The scheme of quarks in a harmonic potential is preserved and a closed but physically unsatisfactory solution is given. Later on, using the whole harmonic-oscillator algebra we present an adiabatic perturbative method which allows us to satisfy angular conditions step by step at any order and overcomes all the difficulties of the first solution. Some phenomenological considerations are then developed.
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