Generalized uncertainty principle and self-adjoint operators

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dc.contributor.authorBalasubramanian, Venkat
dc.contributor.authorDas, Saurya
dc.contributor.authorVagenas, Elias C.
dc.date.accessioned2015-12-16T20:33:57Z
dc.date.available2015-12-16T20:33:57Z
dc.date.issued2015-12-16
dc.descriptionSherpa Romeo green journal. Permission to archive author manuscript.en_US
dc.description.abstractIn this work we explore the self-adjointness of the GUP-modified momentum and Hamiltonian oper- ators over different domains. In particular, we utilize the theorem by von-Newmann for symmetric operators in order to determine whether the momentum and Hamiltonian operators are self-adjoint or not, or they have self-adjoint extensions over the given domain. In addition, a simple example of the Hamiltonian operator describing a particle in a box is given. The solutions of the boundary conditions that describe the self-adjoint extensions of the specific Hamiltonian operator are obtained.en_US
dc.description.peer-reviewNoen_US
dc.identifier.citationBalasubramanian, V., Das, S., & Vagenas, E. C. (2015). Generalized uncertainty principle and self-adjoint operators. Annals of Physics, 360, 1-18. https://doi.org/10.1016/j.aop.2015.04.033
dc.identifier.urihttps://hdl.handle.net/10133/3835
dc.language.isoen_CAen_US
dc.publisher.departmentDepartment of Physics and Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Western Ontarioen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.institutionKuwait Universityen_US
dc.publisher.urlhttps://doi.org/10.1016/j.aop.2015.04.033
dc.subjectGeneralized uncertainty principleen_US
dc.subjectGUPen_US
dc.subjectHamiltonian operatorsen_US
dc.subjectSelf-adjointen_US
dc.subjectQuantum gravity phenomenology
dc.subjectQuantum mechanics
dc.titleGeneralized uncertainty principle and self-adjoint operatorsen_US
dc.typeArticleen_US
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