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Thus, functionals are presented, that have local minimum at the bound excited states of a non-degenerate Hamiltonian, allowing the computation at any desired accuracy, by using crude approximations of the lower lying states. They are useful for larger systems, because the higher roots of the standard secular equation have, by the Hylleraas-Undheim and MacDonald theorem, several restrictions, which render them of lower quality relative to the lowest root, if the latter is good enough. Preliminary test-results are presented for He (1)S 1 s2s.", "MELVILLE" ], "format" : "372-375", "identifier" : [ "https://hdl.handle.net/10442/12643", "ISBN: 978-0-7354-0685-8", "0094-243X" ], "language" : "eng", "publisher" : "Springer New York LLC", "rights" : [ { "@language" : "en", "@value" : "© AMER INST PHYSICS" }, "© AMER INST PHYSICS" ], "source" : "International Conference on Computational Methods in Science and Engineering, Hersonissos, GREECE, Computational Methods in Science and Engineering, Vol 2: Advances in Computational Science, 2008-09-25 - 2008-09-30", "subject" : "http://semantics.gr/authorities/EKT-voc-classifier/1776219804", "dc:subject" : [ "Physics, Multidisciplinary", "Physics, Applied", "Variational minimization", "Excited states" ], "title" : "Remarks on the Hylleraas-Undheim and MacDonald Higher Roots, And Functionals Having Local Minimum at The Excited States", "type" : [ "Ανακοίνωση σε συνέδριο", { "@id" : "http://semantics.gr/authorities/openarchives-item-types/Conference-article" } ], "created" : "2009" } ], "@context" : { "provider" : { "@id" : "http://www.europeana.eu/schemas/edm/provider" }, "isShownAt" : { "@id" : "http://www.europeana.eu/schemas/edm/isShownAt", "@type" : "@id" }, "dataProvider" : { "@id" : "http://www.europeana.eu/schemas/edm/dataProvider" }, "aggregatedCHO" : { "@id" : "http://www.europeana.eu/schemas/edm/aggregatedCHO", "@type" : "@id" }, "broader" : { "@id" : "http://www.w3.org/2004/02/skos/core#broader", "@type" : "@id" }, "prefLabel" : { "@id" : "http://www.w3.org/2004/02/skos/core#prefLabel" }, "identifier" : { "@id" : "http://purl.org/dc/elements/1.1/identifier" }, "subject" : { "@id" : "http://purl.org/dc/elements/1.1/subject", "@type" : "@id" }, "type" : { "@id" : "http://purl.org/dc/elements/1.1/type" }, "description" : { "@id" : "http://purl.org/dc/elements/1.1/description" }, "title" : { "@id" : "http://purl.org/dc/elements/1.1/title" }, "contributor" : { "@id" : "http://purl.org/dc/elements/1.1/contributor" }, "creator" : { "@id" : "http://purl.org/dc/elements/1.1/creator" }, "source" : { "@id" : "http://purl.org/dc/elements/1.1/source" }, "created" : { "@id" : "http://purl.org/dc/terms/created" }, "publisher" : { "@id" : "http://purl.org/dc/elements/1.1/publisher" }, "language" : { "@id" : "http://purl.org/dc/elements/1.1/language" }, "format" : { "@id" : "http://purl.org/dc/elements/1.1/format" }, "rights" : { "@id" : "http://purl.org/dc/elements/1.1/rights" }, "narrower" : { "@id" : "http://www.w3.org/2004/02/skos/core#narrower", "@type" : "@id" }, "closeMatch" : { "@id" : "http://www.w3.org/2004/02/skos/core#closeMatch", "@type" : "@id" }, "exactMatch" : { "@id" : "http://www.w3.org/2004/02/skos/core#exactMatch", "@type" : "@id" }, "narrowMatch" : { "@id" : "http://www.w3.org/2004/02/skos/core#narrowMatch", "@type" : "@id" }, "note" : { "@id" : "http://www.w3.org/2004/02/skos/core#note" }, "ore" : "http://www.openarchives.org/ore/terms/", "owl" : "http://www.w3.org/2002/07/owl#", "svcs" : "http://rdfs.org/sioc/services#", "skos" : "http://www.w3.org/2004/02/skos/core#", "rdfs" : "http://www.w3.org/2000/01/rdf-schema#", "rdaGr2" : "http://rdvocab.info/ElementsGr2/", "edm" : "http://www.europeana.eu/schemas/edm/", "ekt" : "https://www.semantics.gr/authorities/schemanamespaces/ekt#", "doap" : "http://usefulinc.com/ns/doap#", "rdf" : "http://www.w3.org/1999/02/22-rdf-syntax-ns#", "xalan" : "http://xml.apache.org/xalan", "dcterms" : "http://purl.org/dc/terms/", "wgs84_pos" : "http://www.w3.org/2003/01/geo/wgs84_pos#", "foaf" : "http://xmlns.com/foaf/0.1/", "crm" : "http://www.cidoc-crm.org/rdfs/cidoc_crm_v5.0.2_english_label.rdfs#", "dc" : "http://purl.org/dc/elements/1.1/" } }