English

Refined uncertainty relation for q-commutator

Functional Analysis 2025-06-23 v1

Abstract

We show that Robertson uncertainty relation can be refined for q-commutator which is defined by [A,B]q=ABqBA[A,B]_q = AB-qBA, where A,BA, B are self-adjoint operators and real number qRq\in \mathbb{R}. The coefficient is represented by the eigenvalues of state ρ\rho.

Cite

@article{arxiv.2506.16850,
  title  = {Refined uncertainty relation for q-commutator},
  author = {Kenjiro Yanagi},
  journal= {arXiv preprint arXiv:2506.16850},
  year   = {2025}
}
R2 v1 2026-07-01T03:26:18.039Z