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We compute the non-relativistic limit for those cases, and show that for symmetric scalar and vector potentials the limit does not exist in the first order of an harmonic oscillator frequency, recovering a known result from the Dirac equation with the same kind of potentials.<\/jats:p>","DOI":"10.1088\/1402-4896\/ad35f1","type":"journal-article","created":{"date-parts":[[2024,3,20]],"date-time":"2024-03-20T22:25:45Z","timestamp":1710973545000},"page":"055209","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Bound states of relativistic spinless particles in a mix of circularly symmetric vector and scalar harmonic oscillators"],"prefix":"10.1088","volume":"99","author":[{"given":"V B","family":"Mendrot","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8802-8806","authenticated-orcid":true,"given":"A S","family":"de Castro","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2754-7642","authenticated-orcid":true,"given":"P","family":"Alberto","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2024,4,2]]},"reference":[{"edition":"II edn","year":"2005","author":"Griffiths","key":"psad35f1bib1"},{"volume":"vol 1","year":"2005","author":"Cohen-Tannoudji","key":"psad35f1bib2"},{"year":"2011","author":"Wachter","key":"psad35f1bib3"},{"key":"psad35f1bib4","doi-asserted-by":"publisher","first-page":"L817","DOI":"10.1088\/0305-4470\/22\/17\/002","article-title":"The Dirac oscillator","volume":"22","author":"Moshinsky","year":"1989","journal-title":"J. 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