dorsal/arxiv
View SchemaPhase shift operator and cyclic evolution in finite dimensional Hilbert space
| Authors | Ramandeep S. Johal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003114 |
| URL | https://arxiv.org/abs/quant-ph/0003114 |
Abstract
We address the problem of phase shift operator acting as time evolution operator in Pegg-Barnett formalism. It is argued that standard shift operator is inconsistent with the behaviour of the state vector under cyclic evolution. We consider a generally deformed oscillator algebra at q-root of unity, as it yields the same Pegg-Barnett operator and show that shift operator meets our requirement.
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"abstract": "We address the problem of phase shift operator acting as time evolution\noperator in Pegg-Barnett formalism. It is argued that standard shift operator\nis inconsistent with the behaviour of the state vector under cyclic evolution.\nWe consider a generally deformed oscillator algebra at q-root of unity, as it\nyields the same Pegg-Barnett operator and show that shift operator meets our\nrequirement.",
"arxiv_id": "quant-ph/0003114",
"authors": [
"Ramandeep S. Johal"
],
"categories": [
"quant-ph"
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"title": "Phase shift operator and cyclic evolution in finite dimensional Hilbert space",
"url": "https://arxiv.org/abs/quant-ph/0003114"
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