QUANTUM GROUP SCHRÖDINGER FIELD THEORY
Copyright policy )QUANTUM GROUP SCHRÖDINGER 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 ∆x=(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.
- Universidad de Puerto Rico Puerto Rico
- University of Puerto Rico System United States
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Quantum field theory; related classical field theories, FOS: Physical sciences, Quantum groups and related algebraic methods applied to problems in quantum theory
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Quantum field theory; related classical field theories, FOS: Physical sciences, Quantum groups and related algebraic methods applied to problems in quantum theory
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