S'Darboux coordinates and WKB approximations in deformation quantization

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dc.creatorCargo, Matthew C.
dc.date2005-06-29
dc.date.accessioned2026-07-07T04:32:11Z
dc.date.available2026-07-07T04:32:11Z
dc.descriptionWe introduce a method for calculating the joint spectra of functions which comprise a quantum integrable system under a deformation quantization star product. The main result involves a construction by formal power series in h-bar of s'Darboux coordinates, a concept we introduce for the star product analogue of Darboux normal coordinates. We will find that underlying the quantum integrable system is a set of s'Darboux coordinates which in turn gives rise to number operators for the system. We present an explicit correction to the lowest order Bohr-Sommerfeld or EBK quantization rule.
dc.description14 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0506074
dc.identifierhttp://arxiv.org/abs/math-ph/0506074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58100
dc.subjectMathematical Physics
dc.titleS'Darboux coordinates and WKB approximations in deformation quantization
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