Quantization of quark fields on a lightlike plane

We investigate some problems in quantizing quark fields on a lightlike hyperplane. The generators of the stability group of the quantization plane and the lightlike charges play a central role. The set of these observables is denoted by Fsub(+). The properties of creation and annihilation operators of quarks are investigated in detail. It is shown that one-particle states can be determined by the measurement of some observables belonging to Fsub(+). Also discussed is the problem of the independent preparation of two-particle states on a lightlike plane. (auth.)