{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T15:20:45Z","timestamp":1774884045896,"version":"3.50.1"},"reference-count":49,"publisher":"AIP Publishing","issue":"2","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2003,2,1]]},"abstract":"<jats:p>The problems connected with Gaudin models are reviewed by analyzing model related to the trigonometric osp(1|2) classical r-matrix. The eigenvectors of the trigonometric osp(1|2) Gaudin Hamiltonians are found using explicitly constructed creation operators. The commutation relations between the creation operators and the generators of the trigonometric loop superalgebra are calculated. The coordinate representation of the Bethe states is presented. The relation between the Bethe vectors and solutions to the Knizhnik\u2013Zamolodchikov equation yields the norm of the eigenvectors. The generalized Knizhnik\u2013Zamolodchikov system is discussed both in the rational and in the trigonometric case.<\/jats:p>","DOI":"10.1063\/1.1531250","type":"journal-article","created":{"date-parts":[[2003,1,23]],"date-time":"2003-01-23T18:28:48Z","timestamp":1043346528000},"page":"676-700","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":23,"title":["Trigonometric osp(1|2) Gaudin model"],"prefix":"10.1063","volume":"44","author":[{"given":"P. P.","family":"Kulish","sequence":"first","affiliation":[{"name":"\u00c1rea Departamental de Matem\u00e1tica, F. C. T., Universidade do Algarve, Campus de Gambelas, 8000-117\u2009Faro, Portugal"}]},{"given":"N.","family":"Manojlovi\u0107","sequence":"additional","affiliation":[{"name":"\u00c1rea Departamental de Matem\u00e1tica, F. C. T., Universidade do Algarve, Campus de Gambelas, 8000-117\u2009Faro, Portugal"}]}],"member":"317","published-online":{"date-parts":[[2003,1,17]]},"reference":[{"key":"2023070423464404200_r1"},{"key":"2023070423464404200_r2"},{"key":"2023070423464404200_r3"},{"key":"2023070423464404200_r4","doi-asserted-by":"crossref","first-page":"1087","DOI":"10.1051\/jphys:0197600370100108700","volume":"37","year":"1976","journal-title":"J. Phys. (France)"},{"key":"2023070423464404200_r5"},{"key":"2023070423464404200_r6","first-page":"151","volume":"164","year":"1987","journal-title":"Zap. Nauchn. Semin. LOMI"},{"key":"2023070423464404200_r6a","doi-asserted-by":"crossref","first-page":"2473","DOI":"10.1007\/BF01840429","volume":"47","year":"1989","journal-title":"J. Sov. Math."},{"key":"2023070423464404200_r7","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1023\/A:1007585716273","volume":"47","year":"1999","journal-title":"Lett. Math. 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