C-number time-energy uncertainty relation in the quark model

Abstract

The time-energy uncertainty relation is studied for the time- and energy-separation variables between two constitutent quarks inside a hadron bounded by a harmonic-oscillator force. The O(3,1) and O(3)-like internal space-time symmetries discussed in a previous paper are formulated in terms of covariant commutators. It is shown that the resulting commutation relations constitute a covariant realization of Dirac's $c$-number time-energy uncertainty relation.