Answers are grounded in this paper and cite their sources.
Theoretical model proposes position-dependent noncommutativity, indicating new quantum framework implications.
The model of the position-dependent noncommutativity in quantum mechanics is proposed. We start with given commutation relations between the operators of coordinates [^xⁱ,^xʲ]=ωⁱʲ(^x), and construct the complete algebra of commutation relations, including the operators of momenta. The constructed algebra is a deformation of a standard Heisenberg algebra and obeys the Jacobi identity. The key point of our construction is a proposed first-order Lagrangian, which after quantization reproduces the desired commutation relations. Also we study the possibility to localize the noncommutativity.
No takes yet. Share an insight, caveat, or question.
Gomes et al. (2009) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: