QUANTUM GROUP SCHRODINGER FIELD-THEORY

We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size DELTAx = (1 - q)x. Then, based on this, we develop the basic formalism of quantum group Schrodinger field theory in one spatial quantum dimension, and explicitly exhibit the SU(q)(2) covariant algebras satisfied by the q-bosonic and q-fermionic Schrodinger fields. We generalize this result to an arbitrary number of fields.