Quantum Group Schrödinger Field Theory

Details Quantum Group Schrödinger Field Theory Quantum Group Schrödinger Field Theory

1993-05-11

arxiv.org/abs/hep-th/9305046v1

Mod.Phys.Lett. A8 (1993) 2213

Physics

High Energy Physics

High Energy Physics - Theory

11 pages,LaTeX, LTP-035-UPR

Scientific paper

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 $\Delta x=~(1-q)x$. Then, based on this, we develop the basic formalism of quantum group Schr\"{o}dinger field theory in one spatial quantum dimension, and explicitly exhibit the $SU_{q}(2)$ covariant algebras satisfied by the $q$-bosonic and $q$-fermionic Schr\"{o}dinger fields. We generalize this result to an arbitrary number of fields.

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