{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:48:39Z","timestamp":1777448919013,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2011,10,1]],"date-time":"2011-10-01T00:00:00Z","timestamp":1317427200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2011,10]]},"abstract":"<jats:p>\n                    Here we consider one of the basic models for many-body problems under an external field: the molecule ion H\n                    <jats:sub>2<\/jats:sub>\n                    <jats:sup>+<\/jats:sup>\n                    under the effect of an external Stark-type potential. If we consider the vibrational energy levels of the first two electronic states of the molecule ion H\n                    <jats:sub>2<\/jats:sub>\n                    <jats:sup>+<\/jats:sup>\n                    then, in the semiclassical limit and by means of a suitable modified Born\u2013Oppenheimer method, we can prove that they switch to sharp resonances localized in the same interval of energy of the vibrational levels when an external Stark-type field, with the same direction of the nuclear axis, occurs.\n                  <\/jats:p>","DOI":"10.3233\/asy-2011-1053","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:18:30Z","timestamp":1575055110000},"page":"37-77","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Resonant states for a three-body problem under an external field"],"prefix":"10.1177","volume":"75","author":[{"given":"Vincenzo","family":"Grecchi","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hynek","family":"Kova\u0159\u00edk","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy. E-mail: hynek.kovarik@polito.it"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andr\u00e9","family":"Martinez","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrea","family":"Sacchetti","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica Pura ed Applicata, Universit\u00e1 degli studi di Modena e Reggio Emilia, Via Campi 213\/B, Modena 41100, Italy. E-mail: andrea.sacchetti@unimore.it"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vania","family":"Sordoni","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e1 degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2011,10,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1053","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1053","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:24Z","timestamp":1777379964000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2011-1053"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2011,10]]}},"alternative-id":["10.3233\/ASY-2011-1053"],"URL":"https:\/\/doi.org\/10.3233\/asy-2011-1053","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10]]}}}