{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T00:35:51Z","timestamp":1759970151689,"version":"build-2065373602"},"reference-count":56,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T00:00:00Z","timestamp":1736294400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"FAPEMA (Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa e ao Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico do Maranh\u00e3o)","award":["BPV-00527\/22"],"award-info":[{"award-number":["BPV-00527\/22"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this analysis, we investigate hydrogen and pionic atoms subjected to Dirac and Klein-Gordon oscillators, respectively, in the global monopole spacetime. Through a purely analytical analysis, we determine solutions of bound state, in which we define the allowed energy values for the lowest energy state of both proposed systems. In addition to the influence of the topological defect on the results obtained, we note another quantum effect: the oscillation frequencies of both systems depend on the system quantum numbers, that is, the angular frequencies are quantized.<\/jats:p>","DOI":"10.3390\/sym17010088","type":"journal-article","created":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T09:30:45Z","timestamp":1736328645000},"page":"88","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Hydrogen and Pionic Atoms Under the Effects of Oscillations in the Global Monopole Spacetime"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8802-3634","authenticated-orcid":false,"given":"R. L. L.","family":"Vit\u00f3ria","sequence":"first","affiliation":[{"name":"Faculdade de F\u00edsica, Universidade Federal do Par\u00e1, Av. Augusto Corr\u00eaa, Guam\u00e1, Bel\u00e9m, PA 66075-110, Brazil"},{"name":"Departamento de Ensino, Instituto Federal de Educa\u00e7\u00e3o, Ci\u00eancia e Tecnologia do Maranh\u00e3o, Rodovia Marechal Castelo Branco, S\/N, Cana\u00e3, Santa In\u00eas, MA 65300-340, Brazil"}]},{"given":"Kleber Anderson T.","family":"da Silva","sequence":"additional","affiliation":[{"name":"Departamento de Ensino, Instituto Federal de Educa\u00e7\u00e3o, Ci\u00eancia e Tecnologia do Maranh\u00e3o, Rodovia Marechal Castelo Branco, S\/N, Cana\u00e3, Santa In\u00eas, MA 65300-340, Brazil"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,8]]},"reference":[{"key":"ref_1","unstructured":"Eisberg, R.M., and Resnick, R. (1985). Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particle, Wiley. 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