{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZBQEJDZZ/a-344d48f5c-e41d5e78bc07-f450ba-5f56/PDF","dcterms:extent":"2170 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZBQEJDZZ/4ab4a200-0a7c-449f-824d-ce9b50798a83/TEXT","dcterms:extent":"23 KB"}],"edm:TimeSpan":{"@rdf:about":"2014-2024","edm:begin":{"@xml:lang":"en","#text":"2014"},"edm:end":{"@xml:lang":"en","#text":"2024"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-ZBQEJDZZ","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-OE00UKYR"},{"@xml:lang":"sl","#text":"Matrika"}],"dcterms:issued":"2020","dc:creator":"Medic, Luka","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"14 str."},{"@xml:lang":"sl","#text":"letnik:7"}],"dc:identifier":["COBISSID_HOST:23675907","ISSN:2385-8567","URN:URN:NBN:SI:doc-ZBQEJDZZ"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Založba Fakultete za matematiko in fiziko Univerze v Ljubljani"},"dc:subject":[{"@xml:lang":"en","#text":"diatomic molecules"},{"@xml:lang":"sl","#text":"dvoatomne molekule"},{"@xml:lang":"en","#text":"electron trajectories"},{"@xml:lang":"sl","#text":"integrabilni sistemi"},{"@xml:lang":"en","#text":"integrable systems"},{"@xml:lang":"sl","#text":"trajektorije elektrona"}],"dcterms:temporal":{"@rdf:resource":"2014-2024"},"dc:title":{"@xml:lang":"sl","#text":"Klasično gibanje elektrona v dvoatomni molekuli|"},"dc:description":[{"@xml:lang":"sl","#text":"The article presents the classical motion of an electron in a diatomic molecule $H^+_2$, where both protons are stationary. Firstly, elliptic coordinates are presented and the problem is rewritten in a dimensionless form. The following is an analytical treatment of the problem, where the solution of the planar problem is shown, and for the general case the Whittaker constant of motion is derived. Finally, some trajectories of electron motion in $H^+_2$ are pictured"},{"@xml:lang":"sl","#text":"V članku je predstavljeno klasično gibanje elektrona v dvoatomni molekuli $H^+_2$, pri čemer protona mirujeta. Predstavljeni sta vpeljava eliptičnih koordinat in prevedba problema v brezdimenzijsko obliko. Sledi analitična obravnava problema, kjer je najprej prikazana rešitev planarnega problema, za splošen primer pa je izpeljana Whittakerjeva konstanta gibanja. V numerični obravnavi so prikazane Poincaréjeve sečne ploskve, ki potrjujejo, da je sistem integrabilen. Na koncu so zbrane še nekatere trajektorije gibanja elektrona v $H^+_2$"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-ZBQEJDZZ","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-ZBQEJDZZ"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-ZBQEJDZZ/a-344d48f5c-e41d5e78bc07-f450ba-5f56/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:dataProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-ZBQEJDZZ/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-ZBQEJDZZ"}}}}