dorsal/arxiv
View SchemaThe quantum absolute phase observable
| Authors | Gilad Gour |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102092 |
| URL | https://arxiv.org/abs/quant-ph/0102092 |
Abstract
Defining the observable ${\bf \phi}$ canonically conjugate to the number observable ${\bf N}$ has long been an open problem in quantum theory. Here we show how to define the absolute phase observable ${\bf \Phi}\equiv |{\bf\phi}|$ by suitably restricting the Hilbert space of $x$ and $p$ like variables. This ${\bf \Phi}$ is actually the absolute value of the phase and has the correct classical limit. A correction to the ``cosine'' ${\bf C}$ and ``sine'' ${\bf S}$ operators of Carruthers and Nieto is obtained.
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"abstract": "Defining the observable ${\\bf \\phi}$ canonically conjugate to the number\nobservable ${\\bf N}$ has long been an open problem in quantum theory. Here we\nshow how to define the absolute phase observable ${\\bf \\Phi}\\equiv |{\\bf\\phi}|$\nby suitably restricting the Hilbert space of $x$ and $p$ like variables. This\n${\\bf \\Phi}$ is actually the absolute value of the phase and has the correct\nclassical limit. A correction to the ``cosine\u0027\u0027 ${\\bf C}$ and ``sine\u0027\u0027 ${\\bf\nS}$ operators of Carruthers and Nieto is obtained.",
"arxiv_id": "quant-ph/0102092",
"authors": [
"Gilad Gour"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th",
"physics.optics"
],
"title": "The quantum absolute phase observable",
"url": "https://arxiv.org/abs/quant-ph/0102092"
},
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