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arXiv · hep-th/9305046

Quantum Group Schrödinger Field Theory

Marcelo R. Ubriaco
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Abstract

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

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Marcelo R. Ubriaco. 1993-05-11. Quantum Group Schrödinger Field Theory. https://doi.org/10.1142/s021773239300194x

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