An extension of quantum Hamilton-Jacobi formalism to N-spatial dimensions and its applications

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dc.contributor.authorDurmus, Aysen
dc.contributor.authorOzfidan, Aysel
dc.date.accessioned2025-03-17T12:25:35Z
dc.date.available2025-03-17T12:25:35Z
dc.date.issued2023
dc.departmentTarsus Üniversitesi
dc.description.abstractDue to the importance of hyperspherical coordinates, we report the quantum Hamilton-Jacobi formalism in N=2 spatial dimensions. The quantum momentum function equations in N-dimensions have been constructed within the framework of non relativistic theory. We also study the singularity structure of the quantum momentum function, which yields the determination of the bound state spectra of stationary quantum systems. In order to confirm the reliability of quantum Hamilton-Jacobi formalism in N-dimensions, we present the numerical data in support of the theoretical results obtained in the context of non-relativistic domain. We analyze the pole structure of the quantum momentum function for the H2 molecule in the ground electronic state interacting with Kratzer oscillator in hyperspherical coordinates. Numerical results reveal clearly that moving poles of the quantum momentum function depend on nodes in the hyperradial wave function of related molecule. We also discuss in detail the influence of dimensions on the quantum momentum function.
dc.identifier.doi10.1140/epjp/s13360-023-04042-w
dc.identifier.issn2190-5444
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85160228052
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1140/epjp/s13360-023-04042-w
dc.identifier.urihttps://hdl.handle.net/20.500.13099/1763
dc.identifier.volume138
dc.identifier.wosWOS:000995354900003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofEuropean Physical Journal Plus
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250316
dc.subjectQuantization
dc.subjectOscillator
dc.subjectMechanics
dc.subjectStates
dc.titleAn extension of quantum Hamilton-Jacobi formalism to N-spatial dimensions and its applications
dc.typeArticle

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