{"id":"https://openalex.org/W4408588275","doi":"https://doi.org/10.3390/axioms14030227","title":"Relativistic Scalar Particle Systems in a Spacetime with a Spiral-like Dislocation","display_name":"Relativistic Scalar Particle Systems in a Spacetime with a Spiral-like Dislocation","publication_year":2025,"publication_date":"2025-03-19","ids":{"openalex":"https://openalex.org/W4408588275","doi":"https://doi.org/10.3390/axioms14030227"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030227","pdf_url":"https://www.mdpi.com/2075-1680/14/3/227/pdf?version=1742356747","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/3/227/pdf?version=1742356747","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076815779","display_name":"R. L. L. Vit\u00f3ria","orcid":"https://orcid.org/0000-0001-8802-3634"},"institutions":[{"id":"https://openalex.org/I59606676","display_name":"Universidade Federal do Par\u00e1","ror":"https://ror.org/03q9sr818","country_code":"BR","type":"education","lineage":["https://openalex.org/I59606676"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Ricardo L. L. Vit\u00f3ria","raw_affiliation_strings":["Faculdade de F\u00edsica, Universidade Federal do Par\u00e1, Av. Augusto Corr\u00eaa, Guam\u00e1, Bel\u00e9m 66075-110, PA, Brazil"],"affiliations":[{"raw_affiliation_string":"Faculdade de F\u00edsica, Universidade Federal do Par\u00e1, Av. Augusto Corr\u00eaa, Guam\u00e1, Bel\u00e9m 66075-110, PA, Brazil","institution_ids":["https://openalex.org/I59606676"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076815779"],"corresponding_institution_ids":["https://openalex.org/I59606676"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2582,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81227142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"14","issue":"3","first_page":"227","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.661362886428833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5975209474563599},{"id":"https://openalex.org/keywords/spiral","display_name":"Spiral (railway)","score":0.5645350813865662},{"id":"https://openalex.org/keywords/dislocation","display_name":"Dislocation","score":0.5412310361862183},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5218688249588013},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5122644305229187},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3410370945930481},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1697494089603424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1394830048084259},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13642671704292297},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13210910558700562},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.08230677247047424}],"concepts":[{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.661362886428833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5975209474563599},{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.5645350813865662},{"id":"https://openalex.org/C159122135","wikidata":"https://www.wikidata.org/wiki/Q737571","display_name":"Dislocation","level":2,"score":0.5412310361862183},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5218688249588013},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5122644305229187},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3410370945930481},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1697494089603424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1394830048084259},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13642671704292297},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13210910558700562},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.08230677247047424}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030227","pdf_url":"https://www.mdpi.com/2075-1680/14/3/227/pdf?version=1742356747","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:33cd19c2815142df8510e4321be5f5d0","is_oa":true,"landing_page_url":"https://doaj.org/article/33cd19c2815142df8510e4321be5f5d0","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 3, p 227 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030227","pdf_url":"https://www.mdpi.com/2075-1680/14/3/227/pdf?version=1742356747","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408588275.pdf"},"referenced_works_count":87,"referenced_works":["https://openalex.org/W1606664251","https://openalex.org/W1965606261","https://openalex.org/W1965702998","https://openalex.org/W1972287694","https://openalex.org/W1973337496","https://openalex.org/W1974762611","https://openalex.org/W1977594161","https://openalex.org/W1983544683","https://openalex.org/W1983938560","https://openalex.org/W1985105826","https://openalex.org/W1990170115","https://openalex.org/W1992977115","https://openalex.org/W2009090678","https://openalex.org/W2012746506","https://openalex.org/W2019749222","https://openalex.org/W2022318322","https://openalex.org/W2028785431","https://openalex.org/W2033539480","https://openalex.org/W2040327647","https://openalex.org/W2045744888","https://openalex.org/W2046314836","https://openalex.org/W2055092353","https://openalex.org/W2059055444","https://openalex.org/W2059061995","https://openalex.org/W2084832921","https://openalex.org/W2092424015","https://openalex.org/W2092742494","https://openalex.org/W2093522731","https://openalex.org/W2118074319","https://openalex.org/W2126902236","https://openalex.org/W2134591970","https://openalex.org/W2142768579","https://openalex.org/W2147482306","https://openalex.org/W2160140393","https://openalex.org/W2172341480","https://openalex.org/W2252787314","https://openalex.org/W2252826940","https://openalex.org/W2262317860","https://openalex.org/W2305552196","https://openalex.org/W2408517811","https://openalex.org/W2521469244","https://openalex.org/W2553056973","https://openalex.org/W2559927255","https://openalex.org/W2580839976","https://openalex.org/W2592208402","https://openalex.org/W2731877778","https://openalex.org/W2735547520","https://openalex.org/W2735801248","https://openalex.org/W2779129579","https://openalex.org/W2782022488","https://openalex.org/W2788617324","https://openalex.org/W2802592377","https://openalex.org/W2899586658","https://openalex.org/W2903312473","https://openalex.org/W2904043522","https://openalex.org/W2943450429","https://openalex.org/W2945695029","https://openalex.org/W2953762485","https://openalex.org/W2963585003","https://openalex.org/W2967849775","https://openalex.org/W2971516967","https://openalex.org/W2980035227","https://openalex.org/W2988393175","https://openalex.org/W3001118864","https://openalex.org/W3001758729","https://openalex.org/W3005841967","https://openalex.org/W3011415108","https://openalex.org/W3099567844","https://openalex.org/W3099928109","https://openalex.org/W3100101583","https://openalex.org/W3100602598","https://openalex.org/W3101325388","https://openalex.org/W3101795610","https://openalex.org/W3101930828","https://openalex.org/W3102031523","https://openalex.org/W3102369007","https://openalex.org/W3104633247","https://openalex.org/W3105699978","https://openalex.org/W3105715304","https://openalex.org/W3105980220","https://openalex.org/W3195409364","https://openalex.org/W3196860361","https://openalex.org/W4235946034","https://openalex.org/W4280548248","https://openalex.org/W4321606970","https://openalex.org/W4393212919","https://openalex.org/W4400721946"],"related_works":["https://openalex.org/W2007206325","https://openalex.org/W588552805","https://openalex.org/W2607684300","https://openalex.org/W2884985606","https://openalex.org/W2025535862","https://openalex.org/W4365152763","https://openalex.org/W1977522702","https://openalex.org/W4390986594","https://openalex.org/W430416562","https://openalex.org/W4255470196"],"abstract_inverted_index":{"We":[0],"have":[1],"analyzed":[2],"solutions":[3,48],"of":[4,7,23,49,52,79],"bound":[5,50],"states":[6,51],"a":[8,24,28,59,85],"scalar":[9,25],"particle":[10,26],"in":[11,27,72,81],"spacetime":[12,82],"with":[13,58],"torsion.":[14],"In":[15,31,62],"the":[16,21,32,37,53,68,73,77],"first":[17],"analysis,":[18],"we":[19,35,41,66],"investigate":[20,36],"confinement":[22],"cylindrical":[29],"shell.":[30],"second":[33],"step,":[34],"Klein\u2013Gordon":[38,54],"oscillator.":[39],"Then,":[40],"finish":[42],"our":[43],"analysis":[44],"by":[45,56,76,84],"searching":[46],"for":[47],"oscillator":[55],"interacting":[57],"hard-wall":[60],"potential.":[61],"all":[63],"these":[64],"systems,":[65],"determine":[67],"relativistic":[69],"energy":[70],"profile":[71],"background":[74],"characterized":[75],"presence":[78],"torsion":[80],"represented":[83],"spiral-like":[86],"dislocation.":[87]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
