CAUSALITY AND QUANTIZATION OF TIME-DELAY SYSTEMS - A MODEL PROBLEM

In a time-symmetric form, classical relativistic formulations involve not only a reference time but also relatively advanced and retarded ti mes. This work examines a simple model problem having this structure w ith the equations of motion having closed-form solutions. The complexi ty of more realistic models is avoided while the general features are retained. The determinism and casuality of the theory are clearly demo nstrated. Some problems associated with the quantization of power seri es representations using conventional procedures are illustrated and d iscussed.