Non-commutative geometry and application to schrödinger equation with certain central potentials

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dc.contributor.authorSlimane, Zaiem
dc.date.accessioned2024-07-12T20:54:57Z
dc.date.available2024-07-12T20:54:57Z
dc.date.issued2019en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractWe obtain exact solutions of the 2D Schr¨odinger equation with the central potentials V (r) = ar2 + br?2 + cr?4 and V (r) = ar?1+br?2 in a non-commutative space up to the first order of noncommutativity parametert using the power-series expansion method similar to the 2D Schr¨odinger equation with the singular even-power and inverse-power potentials respectively in commutative space. We derive the exact non-commutative energy levels and show that the energy is shifted to m levels, as in the Zeeman effect.en_US
dc.identifier.citationSlimane, Z. (2019). Non-commutative geometry and application to schrödinger equation with certain central potentials. International Conference of Mathematical Sciences (ICMS 2019). s. 176.en_US
dc.identifier.endpage177en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage176en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2834
dc.institutionauthorSlimane, Zaiem
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01398
dc.subjectNon-commutative geometryen_US
dc.subjectSolutions of wave equationsen_US
dc.subjectBound statesen_US
dc.subjectAlgebraic methodsen_US
dc.titleNon-commutative geometry and application to schrödinger equation with certain central potentialsen_US
dc.typeArticle
dspace.entity.typePublication

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