PreprintCC BY 4.0arXiv
Generalized Heisenberg algebra from o(2,4)
Abstract
It is well known that the algebra o(2,4) generates the conformal group, but it can also be used to define some variants of the Yang model of noncommutative geometry on a curved spacetime. Starting from these examples, we construct a new physical model based on o(2,4), that can be interpreted as a generalization of the Heisenberg algebra on phase space, with flat positions and momenta, but nontrivial commutation relations between positions and momenta and with the Planck constant promoted to an operator.
Related
- State-adapted generalized mean-field projections for Pauli propagation of Heisenberg dynamics
- Black Hole Shadow and Light Deflection in Generalized Heisenberg-Euler Nonlinear Electrodynamics
- Generalized m-body mean-field projections for classical simulation of d-dimensional Heisenberg-picture dynamics
- Linear Algebra of Generalized Contextuality in All Prepare-Transform-Measure Scenarios
- Simultaneously achieving Heisenberg- and Landau-limited precision in equilibrium quantum thermometry
BibTeX
@misc{bilac2026generalized,
title = {{Generalized Heisenberg algebra from $o(2,4)$}},
author = {Tea Martinic Bilac and Stjepan Meljanac and Salvatore Mignemi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.05049},
eprint = {2606.05049},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.05049},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Generalized Heisenberg algebra from o(2,4)
AU - Tea Martinic Bilac
AU - Stjepan Meljanac
AU - Salvatore Mignemi
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2606.05049
UR - https://arxiv.org/abs/2606.05049
AB - It is well known that the algebra o(2,4) generates the conformal group, but it can also be used to define some variants of the Yang model of noncommutative geometry on a curved spacetime. Starting from these examples, we construct a new physical model based on o(2,4), that can be interpreted as a generalization of the Heisenberg algebra on phase space, with flat positions and momenta, but nontrivial commutation relations between positions and momenta and with the Planck constant promoted to an operator.
ER -