English

Covariant localizations in the torus and the phase observables

Quantum Physics 2015-06-26 v1

Abstract

We describe all the localization observables of a quantum particle in a one-dimensional box in terms of sequences of unit vectors in a Hilbert space. An alternative representation in terms of positive semidefinite complex matrices is furnished and the commutative localizations are singled out. As a consequence, we also get a vector sequence characterization of the covariant phase observables.

Keywords

Cite

@article{arxiv.quant-ph/0105079,
  title  = {Covariant localizations in the torus and the phase observables},
  author = {G. Cassinelli and E. De Vito and P. Lahti and J. -P. Pellonpaa},
  journal= {arXiv preprint arXiv:quant-ph/0105079},
  year   = {2015}
}

Comments

16 pages, no figure, Latex2e

R2 v1 2026-07-22T19:31:07.503Z