Semi-Classical Behavior of the Spectral Function

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dc.creatorAlexandrova, Ivana
dc.date2005-02-26
dc.date.accessioned2026-07-07T05:17:31Z
dc.date.available2026-07-07T05:17:31Z
dc.descriptionWe study the semi-classical behavior of the spectral function of the Schrödinger operator with short range potential. We prove that the spectral function is a semi-classical Fourier integral operator quantizing the forward and backward flow relations of the system. Under a certain geometric condition we explicitly compute the phase in an oscillatory integral representation of the spectral function.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0502555
dc.identifierhttp://arxiv.org/abs/math/0502555
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74333
dc.subjectAnalysis of PDEs
dc.subject35P05, 35S99
dc.titleSemi-Classical Behavior of the Spectral Function
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