000070881 001__ 70881
000070881 005__ 20190709135515.0
000070881 0247_ $$2doi$$a10.1088/1751-8121/aa739b
000070881 0248_ $$2sideral$$a99684
000070881 037__ $$aART-2017-99684
000070881 041__ $$aeng
000070881 100__ $$0(orcid)0000-0003-4480-6535$$aCariñena, José F.$$uUniversidad de Zaragoza
000070881 245__ $$aABC of ladder operators for rationally extended quantum harmonic oscillator systems
000070881 260__ $$c2017
000070881 5060_ $$aAccess copy available to the general public$$fUnrestricted
000070881 5203_ $$aThe problem of construction of ladder operators for rationally extended quantum harmonic oscillator (REQHO) systems of a general form is investigated in the light of existence of different schemes of the Darboux-Crum-Krein-Adler transformations by which such systems can be generated from the quantum harmonic oscillator. Any REQHO system is characterized by the number of separated states in its spectrum, the number of valence bands in which the separated states are organized, and by the total number of the missing energy levels and their position. All these peculiarities of a REQHO system are shown to be detected and reflected by a trinity (A±, B±, C±) of the basic (primary) lowering and raising ladder operators related between themselves by certain algebraic identities with coefficients polynomially-dependent on the Hamiltonian. We show that all the secondary, higher-order ladder operators are obtainable by a composition of the basic ladder operators of the trinity which form the set of the spectrum-generating operators. Each trinity, in turn, can be constructed from the intertwining operators of the two complementary minimal schemes of the DarbouxCrumKreinAdler transformations.
000070881 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-1$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-64166-C2-1
000070881 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000070881 590__ $$a1.963$$b2017
000070881 591__ $$aPHYSICS, MATHEMATICAL$$b13 / 55 = 0.236$$c2017$$dQ1$$eT1
000070881 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b29 / 78 = 0.372$$c2017$$dQ2$$eT2
000070881 592__ $$a0.843$$b2017
000070881 593__ $$aPhysics and Astronomy (miscellaneous)$$c2017$$dQ1
000070881 593__ $$aModeling and Simulation$$c2017$$dQ1
000070881 593__ $$aStatistics and Probability$$c2017$$dQ2
000070881 593__ $$aStatistical and Nonlinear Physics$$c2017$$dQ2
000070881 593__ $$aMathematical Physics$$c2017$$dQ2
000070881 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000070881 700__ $$aPlyushchay, Mikhail S.
000070881 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica
000070881 773__ $$g50, 27 (2017), 275202 [30 pp.]$$pJournal of Physics A-Mathematical and Theoretical$$tJournal of Physics A-Mathematical and Theoretical$$x1751-8113
000070881 8564_ $$s388830$$uhttps://zaguan.unizar.es/record/70881/files/texto_completo.pdf$$yPostprint
000070881 8564_ $$s91974$$uhttps://zaguan.unizar.es/record/70881/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000070881 909CO $$ooai:zaguan.unizar.es:70881$$particulos$$pdriver
000070881 951__ $$a2019-07-09-11:54:20
000070881 980__ $$aARTICLE