Abstract
The algebra of q-fermion operators, developed earlier by two of the present authors is re-examined. It is shown that these operators represent particles that are distinct from usual spacetime fermions except in the limit q=1. It is shown that it is possible to introduce generalized q-oscillators defined for - infinity (q<or=1. In the range - infinity (q(0, these coincide with the q-boson operators and for 0(q<or=1 they coincide with q-fermions. The ordinary bosons and fermions may be identified with the limits q=-1 and +1 respectively. Generalized q-fermion coherent states are constructed by utilizing a nonlinear shift automorphism of the algebra of q-fermion operators. These are compared with the coherent states defined as eigenstates of annihilation operator. Matrix elements of the shift operator in the Fock space basis are evaluated.
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