GENERALIZED BOSONS AND COHERENT STATES

The characteristic features of Bose-Einstein quantum statistics are de rived resorting to the notion of coproduct associated with any Lie-Hop f structure and to generalized coherent states. It is shown that, whil e Boltzmann particles are well described by coherent states of h(1), o rthodox bosons require the D-1/2((+)) representation of SU(1,1). A who le class of inequivalent generalized bosons is then defined by multimo de coherent states of (SU) over tilde(1,1). Known experimental results are in agreement with our generalizations - as well as with the Bose hypothesis - but experiments with discrete spectra, such as the recent ones on Bose condensation, could discriminate among all these possibi lities.