Lewis, ZacharyTakeuchi, Tatsu2016-10-182016-10-182011-11-181550-7998http://hdl.handle.net/10919/7328615 pagesapplication/pdfenIn CopyrightAstronomy & AstrophysicsPhysics, Particles & FieldsPhysicsQUANTUM-GRAVITYSUPERSTRING COLLISIONSPRINCIPLEENERGYSPACEREGULARIZATIONMECHANICSSPECTRUMSCALEPosition and momentum uncertainties of the normal and inverted harmonic oscillators under the minimal length uncertainty relationArticle - RefereedPhysical Review Dhttps://doi.org/10.1103/PhysRevD.84.1050298410