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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Completely integrable systems and groups generated by reflections</title><author><name sortKey="Gutkin, Eugene" sort="Gutkin, Eugene" uniqKey="Gutkin E" first="Eugene" last="Gutkin">Eugene Gutkin</name><affiliation><nlm:aff id="af1">Department of Mathematics, University of Utah, Salt Lake City, Utah 84112</nlm:aff></affiliation></author><author><name sortKey="Sutherland, Bill" sort="Sutherland, Bill" uniqKey="Sutherland B" first="Bill" last="Sutherland">Bill Sutherland</name><affiliation><nlm:aff id="af2">Department of Physics, University of Utah, Salt Lake City, Utah 84112</nlm:aff></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmid">16592731</idno><idno type="pmc">411800</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC411800</idno><idno type="RBID">PMC:411800</idno><date when="1979">1979</date><idno type="wicri:Area/Pmc/Corpus">000044</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Corpus" wicri:corpus="PMC">000044</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Completely integrable systems and groups generated by reflections</title><author><name sortKey="Gutkin, Eugene" sort="Gutkin, Eugene" uniqKey="Gutkin E" first="Eugene" last="Gutkin">Eugene Gutkin</name><affiliation><nlm:aff id="af1">Department of Mathematics, University of Utah, Salt Lake City, Utah 84112</nlm:aff></affiliation></author><author><name sortKey="Sutherland, Bill" sort="Sutherland, Bill" uniqKey="Sutherland B" first="Bill" last="Sutherland">Bill Sutherland</name><affiliation><nlm:aff id="af2">Department of Physics, University of Utah, Salt Lake City, Utah 84112</nlm:aff></affiliation></author></analytic><series><title level="j">Proceedings of the National Academy of Sciences of the United States of America</title><idno type="ISSN">0027-8424</idno><idno type="eISSN">1091-6490</idno><imprint><date when="1979">1979</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>We introduce a class of quantum Hamiltonian systems with δ-function potential, related to groups generated by reflections. They generalize the system of equal elastic particles on the line. We show that these systems are completely integrable and we integrate them explicitly. Then we apply our technique to obtain identities for groups generated by reflections.</p></div></front></TEI><pmc article-type="research-article"><pmc-comment>The publisher of this article does not allow downloading of the full text in XML form.</pmc-comment>
<front><journal-meta><journal-id journal-id-type="nlm-ta">Proc Natl Acad Sci U S A</journal-id><journal-title>Proceedings of the National Academy of Sciences of the United States of America</journal-title><issn pub-type="ppub">0027-8424</issn><issn pub-type="epub">1091-6490</issn></journal-meta><article-meta><article-id pub-id-type="pmid">16592731</article-id><article-id pub-id-type="pmc">411800</article-id><article-categories><subj-group subj-group-type="heading"><subject>Physical Sciences: Mathematics</subject></subj-group></article-categories><title-group><article-title>Completely integrable systems and groups generated by reflections</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Gutkin</surname><given-names>Eugene</given-names></name><xref ref-type="aff" rid="af1">*</xref></contrib><contrib contrib-type="author"><name><surname>Sutherland</surname><given-names>Bill</given-names></name><xref ref-type="aff" rid="af2">†</xref></contrib></contrib-group><aff id="af1"><label>*</label>Department of Mathematics, University of Utah, Salt Lake City, Utah 84112</aff><aff id="af2"><label>†</label>Department of Physics, University of Utah, Salt Lake City, Utah 84112</aff><pub-date pub-type="ppub"><month>12</month><year>1979</year></pub-date><volume>76</volume><issue>12</issue><fpage>6057</fpage><lpage>6059</lpage><abstract><p>We introduce a class of quantum Hamiltonian systems with δ-function potential, related to groups generated by reflections. They generalize the system of equal elastic particles on the line. We show that these systems are completely integrable and we integrate them explicitly. Then we apply our technique to obtain identities for groups generated by reflections.</p></abstract><kwd-group><kwd>Schrödinger equation</kwd><kwd>δ-function potential</kwd><kwd>plane waves</kwd><kwd>Bethe's <italic>Ansatz</italic></kwd></kwd-group></article-meta></front></pmc></record>Pour manipuler ce document sous Unix (Dilib)
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