000074976 001__ 74976 000074976 005__ 20200117221636.0 000074976 0247_ $$2doi$$a10.1103/PhysRevD.98.026017 000074976 0248_ $$2sideral$$a107502 000074976 037__ $$aART-2018-107502 000074976 041__ $$aeng 000074976 100__ $$0(orcid)0000-0003-4480-6535$$aCariñena, J.F.$$uUniversidad de Zaragoza 000074976 245__ $$aRational deformations of conformal mechanics 000074976 260__ $$c2018 000074976 5060_ $$aAccess copy available to the general public$$fUnrestricted 000074976 5203_ $$aWe study deformations of the quantum conformal mechanics of de Alfaro-Fubini-Furlan with a rational additional potential term generated by applying the generalized Darboux-Crum-Krein-Adler transformations to the quantum harmonic oscillator and by using the method of dual schemes and mirror diagrams. In this way we obtain infinite families of isospectral and nonisospectral deformations of the conformal mechanics model with special values of the coupling constant g=m(m+1), mN, in the inverse square potential term, and for each completely isospectral or gapped deformation given by a mirror diagram, we identify the sets of the spectrum-generating ladder operators that encode and coherently reflect its fine spectral structure. Each pair of these operators generates a nonlinear deformation of the conformal symmetry, and their complete sets pave the way for investigation of the associated superconformal symmetry deformations. 000074976 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-1$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-64166-C2-1 000074976 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000074976 590__ $$a4.368$$b2018 000074976 591__ $$aASTRONOMY & ASTROPHYSICS$$b17 / 69 = 0.246$$c2018$$dQ1$$eT1 000074976 591__ $$aPHYSICS, PARTICLES & FIELDS$$b7 / 29 = 0.241$$c2018$$dQ1$$eT1 000074976 592__ $$a1.703$$b2018 000074976 593__ $$aPhysics and Astronomy (miscellaneous)$$c2018$$dQ1 000074976 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000074976 700__ $$aInzunza, L. 000074976 700__ $$aPlyushchay, M.S. 000074976 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000074976 773__ $$g98, 2 (2018), 026017 [25 pp]$$pPhys. rev. D$$tPHYSICAL REVIEW D$$x2470-0010 000074976 8564_ $$s464317$$uhttps://zaguan.unizar.es/record/74976/files/texto_completo.pdf$$yVersión publicada 000074976 8564_ $$s113246$$uhttps://zaguan.unizar.es/record/74976/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000074976 909CO $$ooai:zaguan.unizar.es:74976$$particulos$$pdriver 000074976 951__ $$a2020-01-17-22:02:07 000074976 980__ $$aARTICLE