dorsal/arxiv
View Schemasu(1,1) coherent states and a normal extension of su(1,1) annihilation operator: squeezed states and the simultaneous measurement of Q^{-1}P+PQ^{-1} and Q^{-2}
| Authors | Fuminori Sakaguchi, Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905066 |
| URL | https://arxiv.org/abs/quant-ph/9905066 |
Abstract
The the over-complete eigenvector system of the operator Q^{-1}P (Q:position, P:momentum) which consists of the squeezed states |0; s, t > with various s and t are investigated from the viewpoint of the annihilation and creation relations related to the algebra su(1,1). We derive a positive operator-valued measure(POVM) for the simultaneous measurement between the self-adjoint and anti-self-adjoint parts of PQ^{-1}.
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"date_created": "2026-03-02T18:02:48.530000Z",
"date_modified": "2026-03-02T18:02:48.530000Z",
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"abstract": "The the over-complete eigenvector system of the operator Q^{-1}P (Q:position,\nP:momentum) which consists of the squeezed states |0; s, t \u003e with various s and\nt are investigated from the viewpoint of the annihilation and creation\nrelations related to the algebra su(1,1). We derive a positive operator-valued\nmeasure(POVM) for the simultaneous measurement between the self-adjoint and\nanti-self-adjoint parts of PQ^{-1}.",
"arxiv_id": "quant-ph/9905066",
"authors": [
"Fuminori Sakaguchi",
"Masahito Hayashi"
],
"categories": [
"quant-ph"
],
"title": "su(1,1) coherent states and a normal extension of su(1,1) annihilation operator: squeezed states and the simultaneous measurement of Q^{-1}P+PQ^{-1} and Q^{-2}",
"url": "https://arxiv.org/abs/quant-ph/9905066"
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