General statistics, second quantization and quarks

A somewhat new second quatization method is proposed in order to obtain commutation relations for intermediate states in quantum mechanics. These commutation rules are found to have a multilinear matricial form, whereas for bosons and fermions the usual bilinear relations are reobtained. It is shown that from a symmetric group point of view, it would be hard to accept the paraboson and parafermion concepts in quantum mechanics. Assuming that quarks can be represented by intermediate states, several properties of hadrons, such as quark confinement, baryonic number conservation, and 3-quarks saturation in baryons, seem to have a natural explanation. (Author)