{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T23:09:09Z","timestamp":1648940949687},"reference-count":9,"publisher":"Wiley","license":[{"start":{"date-parts":[[2010,2,1]],"date-time":"2010-02-01T00:00:00Z","timestamp":1264982400000},"content-version":"unspecified","delay-in-days":3684,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["LMS J. Comput. Math."],"published-print":{"date-parts":[[2000]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Sturm\u2013Liouville potentials of the form <jats:italic>x<jats:sup>a<\/jats:sup><\/jats:italic> \u0192(<jats:italic>\u2208x<\/jats:italic>) are considered, where <jats:italic>a<\/jats:italic> &gt; 0, \u0192 decays sufficiently rapidly at infinity, and \u2208 is a small positive parameter. It is shown that there are a finite number <jats:italic>N<\/jats:italic>(<jats:italic>\u2208<\/jats:italic>) of spectral concentration points, and computational evidence is given to support the conjecture that <jats:italic>N<\/jats:italic>(<jats:italic>\u2208<\/jats:italic>) increases to infinity as <jats:italic>\u2208<\/jats:italic> decreases to zero.<\/jats:p>","DOI":"10.1112\/s1461157000000218","type":"journal-article","created":{"date-parts":[[2010,10,21]],"date-time":"2010-10-21T15:21:20Z","timestamp":1287674480000},"page":"76-85","source":"Crossref","is-referenced-by-count":0,"title":["Spectral Concentration for Perturbed Equations of Harmonic Oscillator Type"],"prefix":"10.1112","volume":"3","author":[{"given":"B. M.","family":"Brown","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. S. P.","family":"Eastham","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,2,1]]},"reference":[{"key":"S1461157000000218_ref003","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(97)00072-1"},{"key":"S1461157000000218_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/BF01474161"},{"key":"S1461157000000218_ref004","article-title":"\u2018On the location of spectral concentration for perturbed discrete spectra\u2019","author":"Eastham","journal-title":"Mathematika."},{"key":"S1461157000000218_ref008","volume-title":"Eigenfunction expansions","author":"Titchmarsh","year":"1962"},{"key":"S1461157000000218_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(97)00173-8"},{"key":"S1461157000000218_ref007","volume-title":"Eigenfunction expansions","author":"Titchmarsh","year":"1958"},{"key":"S1461157000000218_ref001","article-title":"\u2018Spectral instability for some Schr\u00f6dinger operators\u2019","author":"Aslanyan","journal-title":"Numer. Math."},{"key":"S1461157000000218_ref005","doi-asserted-by":"publisher","DOI":"10.1112\/S0025579300014017"},{"key":"S1461157000000218_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0741-2"}],"container-title":["LMS Journal of Computation and Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S1461157000000218","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,7]],"date-time":"2019-06-07T23:49:04Z","timestamp":1559951344000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S1461157000000218\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000]]},"references-count":9,"alternative-id":["S1461157000000218"],"URL":"https:\/\/doi.org\/10.1112\/s1461157000000218","relation":{},"ISSN":["1461-1570"],"issn-type":[{"value":"1461-1570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000]]}}}