Quantization of nonlocal fields via fractional calculus

Basit Öğe Kaydı
dc.authoridAtman, Kazım Gökhan/0000-0001-8800-9736
dc.authorscopusid57203389115
dc.authorscopusid28867495300
dc.authorwosidAtman, Kazım Gökhan/AAU-7624-2020
dc.authorwosidşirin, huseyin/GWZ-2316-2022
dc.contributor.authorAtman, Kazim Gokhan
dc.contributor.authorSirin, Huseyin
dc.date.accessioned2023-01-12T20:00:11Z
dc.date.available2023-01-12T20:00:11Z
dc.date.issued2022
dc.departmentN/A/Departmenten_US
dc.description.abstractIn this study, we investigate the effect of nonlocality in quantum mechanics and propose a fractional approach the theory of quantized fields. For this purpose, we embedded the fractional calculus to broaden theory of quantum fields since the integral and derivative operators are nonlocal in fractional calculus.Additionally, quantum entanglement is discussed to gain comprehension of nonlocality in the foundation of quantum mechanics. Besides, fractional Lagrangian formalism was presented due to fact that the Lagrangian density is the starting point to establish a field theory.Furthermore, to make fractional field operators quantum mechanical, equal-time commutator have been defined for the these operators in terms of Caputo fractional derivative. Thus, a scheme of quantization of fractional fields is introduced and general aspects of the method is illustrated with the theory of massive scalar fields. This approach laid out to a successful generalization of the quantum field theory which is coherent with the standard formalism. Consequently, we developed promising concept for a quantum field theory by introducing nonlocality into standard mathematical formalism.en_US
dc.identifier.doi10.1088/1402-4896/ac6b60
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issn0031-8949en_US
dc.identifier.issn1402-4896en_US
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85130467113en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ac6b60
dc.identifier.urihttps://hdl.handle.net/11454/77298
dc.identifier.volume97en_US
dc.identifier.wosWOS:000792468900001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIop Publishing Ltden_US
dc.relation.ispartofPhysica Scriptaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectnonlocal phenomenaen_US
dc.subjectnonlocal fieldsen_US
dc.subjectfractional calculusen_US
dc.subjectCanonical Quantizationen_US
dc.subjectEquationen_US
dc.subjectFormulationen_US
dc.titleQuantization of nonlocal fields via fractional calculusen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu