75576 20200221144249.0 doi 10.1016/j.physleta.2016.05.007 sideral 95028 ART-2016-95028 eng (orcid)0000-0002-8402-2332 Rañada, M. F. Universidad de Zaragoza Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems 2016 Access copy available to the general public Unrestricted The 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. info:eu-repo/grantAgreement/ES/DGA/E24-1 info:eu-repo/grantAgreement/ES/MICINN/MTM2012-33575 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.772 2016 PHYSICS, MULTIDISCIPLINARY 27 / 79 = 0.342 2016 Q2 T2 0.773 2016 Physics and Astronomy (miscellaneous) 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 380 (2016), 2204–2210 Phys. lett., A PHYSICS LETTERS A 0375-9601 414661 http://zaguan.unizar.es/record/75576/files/texto_completo.pdf Postprint 94729 http://zaguan.unizar.es/record/75576/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:75576 articulos driver 2020-02-21-13:26:59 ARTICLE