dorsal/arxiv
View SchemaA study of the consistency between noncommutative quantum mechanics and Galilean isotropy
| Authors | Jose Ignacio Usera |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005017 |
| URL | https://arxiv.org/abs/quant-ph/0005017 |
Abstract
A demonstration is given that the simplest model of quantum mechanics formulated on a plane non-commutative geometry endowed with a Galilean symmetry group in which the position and linear momentum-variable commutators are first order in the dynamical variables (and thus constitute a true Lie algebra) is incompatible with the hypothesis of spacial isotropy.
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"abstract": "A demonstration is given that the simplest model of quantum mechanics\nformulated on a plane non-commutative geometry endowed with a Galilean symmetry\ngroup in which the position and linear momentum-variable commutators are first\norder in the dynamical variables (and thus constitute a true Lie algebra) is\nincompatible with the hypothesis of spacial isotropy.",
"arxiv_id": "quant-ph/0005017",
"authors": [
"Jose Ignacio Usera"
],
"categories": [
"quant-ph"
],
"title": "A study of the consistency between noncommutative quantum mechanics and Galilean isotropy",
"url": "https://arxiv.org/abs/quant-ph/0005017"
},
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