The quantum absolute phase observable

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dc.creatorGour, Gilad
dc.date2001-02-19
dc.date2002-06-25
dc.date.accessioned2026-07-07T06:01:39Z
dc.date.available2026-07-07T06:01:39Z
dc.descriptionDefining the observable ${\bf ϕ}$ 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 ${\bf Φ}\equiv |{\bfϕ}|$ by suitably restricting the Hilbert space of $x$ and $p$ like variables. This ${\bf Φ}$ 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.
dc.description12 pages, REVTEX
dc.identifierhttps://arxiv.org/abs/quant-ph/0102092
dc.identifierhttp://arxiv.org/abs/quant-ph/0102092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89333
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectOptics
dc.titleThe quantum absolute phase observable
dc.typetext

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