dorsal/arxiv
View SchemaBarnett-Pegg formalism of angle operators, revivals, and flux lines
| Authors | Arul Lakshminarayan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006127 |
| URL | https://arxiv.org/abs/quant-ph/0006127 |
| DOI | 10.1103/PhysRevA.62.042110 |
Abstract
We use the Barnett-Pegg formalism of angle operators to study a rotating particle with and without a flux line. Requiring a finite dimensional version of the Wigner function to be well defined we find a natural time quantization that leads to classical maps from which the arithmetical basis of quantum revivals is seen. The flux line, that fundamentally alters the quantum statistics, forces this time quantum to be increased by a factor of a winding number and determines the homotopy class of the path. The value of the flux is restricted to the rational numbers, a feature that persists in the infinite dimensional limit.
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"abstract": "We use the Barnett-Pegg formalism of angle operators to study a rotating\nparticle with and without a flux line. Requiring a finite dimensional version\nof the Wigner function to be well defined we find a natural time quantization\nthat leads to classical maps from which the arithmetical basis of quantum\nrevivals is seen. The flux line, that fundamentally alters the quantum\nstatistics, forces this time quantum to be increased by a factor of a winding\nnumber and determines the homotopy class of the path. The value of the flux is\nrestricted to the rational numbers, a feature that persists in the infinite\ndimensional limit.",
"arxiv_id": "quant-ph/0006127",
"authors": [
"Arul Lakshminarayan"
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"quant-ph"
],
"doi": "10.1103/PhysRevA.62.042110",
"title": "Barnett-Pegg formalism of angle operators, revivals, and flux lines",
"url": "https://arxiv.org/abs/quant-ph/0006127"
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