THE CONSTRUCTION OF GEL'FAND TRIPLET SPACE STRUCTURE FOR INFINITE POTENTIAL WELL SYSTEM

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dc.authoridUncu, Haydar/0000-0003-4847-9682
dc.contributor.authorGenc, Onur
dc.contributor.authorUncu, Haydar
dc.date.accessioned2025-02-20T08:42:17Z
dc.date.available2025-02-20T08:42:17Z
dc.date.issued2023
dc.departmentTürk-Alman Üniversitesien_US
dc.description.abstractThe Hilbert space is the space which is usually chosen as the space of state vectors. In addition, the operators of quantum mechanics act on that space. However, the Hilbert space cannot provide a proper mathematical structure to define Dirac formulation. In particular, the use of Dirac formalism on the domain of definition of an observable leads to some physical contradictions. One example arises from the Infinite Potential Well System (IPWS) which is one of the most fundamental systems of quantum mechanics. Our aim in this paper is the explicit construction of the Gel'fand triplet for the IPWS.
dc.identifier.doi10.1016/s0034-4877(23)00036-8
dc.identifier.endpage300en_US
dc.identifier.issn0034-4877
dc.identifier.issn1879-0674
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85165292987
dc.identifier.scopusqualityQ3
dc.identifier.startpage291en_US
dc.identifier.urihttps://doi.org/10.1016/s0034-4877(23)00036-8
dc.identifier.urihttps://hdl.handle.net/20.500.12846/1632
dc.identifier.volume91en_US
dc.identifier.wosWOS:001036967400001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofReports On Mathematical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250220
dc.subjectinfinite potential wellen_US
dc.subjectenergy uncertaintyen_US
dc.subjectGel'fand tripleten_US
dc.titleTHE CONSTRUCTION OF GEL'FAND TRIPLET SPACE STRUCTURE FOR INFINITE POTENTIAL WELL SYSTEM
dc.typeArticle

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