dorsal/arxiv
View SchemaThe quantum phase problem: steps toward a resolution
| Authors | Gilad Gour |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107122 |
| URL | https://arxiv.org/abs/quant-ph/0107122 |
| Journal | Found.Phys. 32 (2002) 907-926 |
Abstract
Defining the observable ${\bf \phi}$ canonically conjugate to the number observable ${\bf N}$ has long been an open problem in quantum theory. The problem stems from the fact that ${\bf N}$ is bounded from below. In a previous work we have shown how to define the absolute phase observable ${\bf \Phi}\equiv |{\bf\phi}|$ by suitably restricting the Hilbert space of $x$ and $p$ like variables. Here we show that also from the classical point of view, there is no rigorous definition for the phase even though it's absolute value is well defined.
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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. The\nproblem stems from the fact that ${\\bf N}$ is bounded from below. In a previous\nwork we have shown how to define the absolute phase observable ${\\bf\n\\Phi}\\equiv |{\\bf\\phi}|$ by suitably restricting the Hilbert space of $x$ and\n$p$ like variables. Here we show that also from the classical point of view,\nthere is no rigorous definition for the phase even though it\u0027s absolute value\nis well defined.",
"arxiv_id": "quant-ph/0107122",
"authors": [
"Gilad Gour"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th",
"physics.optics"
],
"journal_ref": "Found.Phys. 32 (2002) 907-926",
"title": "The quantum phase problem: steps toward a resolution",
"url": "https://arxiv.org/abs/quant-ph/0107122"
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