000075576 001__ 75576
000075576 005__ 20200221144249.0
000075576 0247_ $$2doi$$a10.1016/j.physleta.2016.05.007
000075576 0248_ $$2sideral$$a95028
000075576 037__ $$aART-2016-95028
000075576 041__ $$aeng
000075576 100__ $$0(orcid)0000-0002-8402-2332$$aRañada, M. F.$$uUniversidad de Zaragoza
000075576 245__ $$aSuperintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems
000075576 260__ $$c2016
000075576 5060_ $$aAccess copy available to the general public$$fUnrestricted
000075576 5203_ $$aThe superintegrability of two-dimensional Hamiltonians with a position dependent mass (pdm) is studied (the kinetic term contains a factor m that depends of the radial coordinate). First, the properties of Killing vectors are studied and the associated Noether momenta are obtained. Then the existence of several families of superintegrable Hamiltonians is proved and the quadratic integrals of motion are explicitly obtained. These families include, as particular cases, some systems previously obtained making use of different approaches. We also relate the superintegrability of some of these pdm systems with the existence of complex functions endowed with interesting Poisson bracket properties. Finally the relation of these pdm Hamiltonians with the Euclidean Kepler problem and with the Euclidean harmonic oscillator is analyzed.
000075576 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-1$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2012-33575
000075576 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000075576 590__ $$a1.772$$b2016
000075576 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b27 / 79 = 0.342$$c2016$$dQ2$$eT2
000075576 592__ $$a0.773$$b2016
000075576 593__ $$aPhysics and Astronomy (miscellaneous)$$c2016$$dQ2
000075576 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000075576 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica
000075576 773__ $$g380 (2016), 2204–2210$$pPhys. lett., A$$tPHYSICS LETTERS A$$x0375-9601
000075576 8564_ $$s414661$$uhttps://zaguan.unizar.es/record/75576/files/texto_completo.pdf$$yPostprint
000075576 8564_ $$s94729$$uhttps://zaguan.unizar.es/record/75576/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000075576 909CO $$ooai:zaguan.unizar.es:75576$$particulos$$pdriver
000075576 951__ $$a2020-02-21-13:26:59
000075576 980__ $$aARTICLE