The energy eigenvalues of the two dimensional hydrogen atom in a magnetic field

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dc.authorid0000-0002-6813-8618
dc.contributor.authorSoylut, A.
dc.contributor.authorBayrak, O.
dc.contributor.authorBoztosun, I.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2006
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this paper, the energy eigenvalues of the two dimensional hydrogen atom are presented for the arbitrary Larmor frequencies by using the asymptotic iteration method. We first show the energy eigenvalues for the case with no magnetic field analytically, and then we obtain the energy eigenvalues for the strong and weak magnetic field cases within an iterative approach for n = 2 - 10 and m = 0 - 1 states for several different arbitrary Larmor frequencies. The effect of the magnetic field on the energy eigenvalues is determined precisely. The results are in excellent agreement with the findings of the other methods and our method works for the cases where the others fail.
dc.identifier.doi10.1142/S021830130600482X
dc.identifier.endpage1271
dc.identifier.issn0218-3013
dc.identifier.issn1793-6608
dc.identifier.issue6
dc.identifier.scopus2-s2.0-33748122381
dc.identifier.scopusqualityQ3
dc.identifier.startpage1263
dc.identifier.urihttps://dx.doi.org/10.1142/S021830130600482X
dc.identifier.urihttps://hdl.handle.net/11480/5489
dc.identifier.volume15
dc.identifier.wosWOS:000240699900008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.relation.ispartofINTERNATIONAL JOURNAL OF MODERN PHYSICS E
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjecttwo dimensional hydrogen atom
dc.subjectAsymptotic Iteration Method (AIM)
dc.subjecteigenvalues and eigenfunctions
dc.subjectmagnetic field
dc.titleThe energy eigenvalues of the two dimensional hydrogen atom in a magnetic field
dc.typeArticle

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