The energy operator for infinite statistics

We construct the energy operator for particles obeying infinite statistics defined by a q-deformation of the Heisenberg algebra. The aim of this is to construct the energy operator for particles which obey the so-called infinite statistics defined by the q-deformation of the Heisenberg algebra. This topic was studied in the previous article, where a conjecture was formulated concerning the form of the energy operator. Our main result is a proof of this conjecture in a slightly modified form. (orig.)