dorsal/arxiv
View SchemaCovariant localizations in the torus and the phase observables
| Authors | G. Cassinelli, E. De Vito, P. Lahti, J. -P. Pellonpaa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105079 |
| URL | https://arxiv.org/abs/quant-ph/0105079 |
| DOI | 10.1063/1.1425958 |
| Journal | J. Math. Phys. 43 (2002) 693-704 |
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.
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"abstract": "We describe all the localization observables of a quantum particle in a\none-dimensional box in terms of sequences of unit vectors in a Hilbert space.\nAn alternative representation in terms of positive semidefinite complex\nmatrices is furnished and the commutative localizations are singled out. As a\nconsequence, we also get a vector sequence characterization of the covariant\nphase observables.",
"arxiv_id": "quant-ph/0105079",
"authors": [
"G. Cassinelli",
"E. De Vito",
"P. Lahti",
"J. -P. Pellonpaa"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1425958",
"journal_ref": "J. Math. Phys. 43 (2002) 693-704",
"title": "Covariant localizations in the torus and the phase observables",
"url": "https://arxiv.org/abs/quant-ph/0105079"
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