000058449 001__ 58449
000058449 005__ 20170504090233.0
000058449 0247_ $$2doi$$a10.1103/PhysRevD.94.105022
000058449 0248_ $$2sideral$$a97439
000058449 037__ $$aART-2016-97439
000058449 041__ $$aeng
000058449 100__ $$0(orcid)0000-0003-4480-6535$$aCariñena, J.F.$$uUniversidad de Zaragoza
000058449 245__ $$aGround-state isolation and discrete flows in a rationally extended quantum harmonic oscillator
000058449 260__ $$c2016
000058449 5060_ $$aAccess copy available to the general public$$fUnrestricted
000058449 5203_ $$aLadder operators for the simplest version of a rationally extended quantum harmonic oscillator (REQHO) are constructed by applying a Darboux transformation to the quantum harmonic oscillator system. It is shown that the physical spectrum of the REQHO carries a direct sum of a trivial and an infinite-dimensional irreducible representation of the polynomially deformed bosonized osp(1|2) superalgebra. In correspondence with this the ground state of the system is isolated from other physical states but can be reached by ladder operators via nonphysical energy eigenstates, which belong to either an infinite chain of similar eigenstates or to the chains with generalized Jordan states. We show that the discrete chains of the states generated by ladder operators and associated with physical energy levels include six basic generalized Jordan states, in comparison with the two basic Jordan states entering in analogous discrete chains for the quantum harmonic oscillator.
000058449 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-1$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-64166-C2-1
000058449 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/
000058449 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000058449 700__ $$aPlyushchay, M.S.
000058449 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDepartamento de Física Teórica$$cFísica Teórica
000058449 773__ $$g94, 10 (2016), 105022 [11 pp]$$pPhys. rev., D Part. fields gravit. cosmol.$$tPHYSICAL REVIEW. D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY$$x1550-7998
000058449 8564_ $$s301194$$uhttps://zaguan.unizar.es/record/58449/files/texto_completo.pdf$$yVersión publicada
000058449 8564_ $$s115829$$uhttps://zaguan.unizar.es/record/58449/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000058449 909CO $$ooai:zaguan.unizar.es:58449$$particulos$$pdriver
000058449 951__ $$a2017-05-04-09:00:11
000058449 980__ $$aARTICLE