Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces

dc.contributorVirginia Techen
dc.contributor.authorBeattie, Christopher A.en
dc.contributor.authorRuskai, Mary Bethen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:21Zen
dc.date.available2014-04-09T18:12:21Zen
dc.date.issued1988-10en
dc.description.abstractA theorem is presented on the location of the essential spectrum of certain intermediate Hamiltonians used to construct lower bounds to bound‐state energies of multiparticle atomic and molecular systems. This result is an analog of the Hunziker–Van Winter–Zhislin theorem for exact Hamiltonians, which implies that the continuum of an N‐electron system begins at the ground‐state energy for the corresponding system with N−1 electrons. The work presented here strengthens earlier results of Beattie [SIAM J. Math. Anal. 1 6, 492 (1985)] in that one may now consider Hamiltonians restricted to the symmetry subspaces appropriate to the permutational symmetry required by the Pauli exclusion principle, or to other physically relevant symmetry subspaces. The associated convergence theory is also given, guaranteeing that all bound‐state energies can be approximated from below with arbitrary accuracy.en
dc.description.sponsorshipNSF DMS-8708905en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBeattie, C.; Ruskai, M. B., "Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces," J. Math. Phys. 29, 2236 (1988); http://dx.doi.org/10.1063/1.528205en
dc.identifier.doihttps://doi.org/10.1063/1.528205en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47055en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/29/10/10.1063/1.528205en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectsubspacesen
dc.subjectatomic spectraen
dc.subjectmolecular spectraen
dc.titleLocation of essential spectrum of intermediate Hamiltonians restricted to symmetry subspacesen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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