75567 20190709135627.0 doi 10.1088/1751-8121/aa8e90 sideral 103621 ART-2017-103621 eng (orcid)0000-0003-4480-6535 Cariñena, J. F. Universidad de Zaragoza Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach 2017 Access copy available to the general public Unrestricted The quantization of systems with a position dependent mass (PDM) is studied. We present a method that starts with the study of the existence of Killing vector fields for the PDM geodesic motion (Lagrangian with a PDM kinetic term but without any potential) and the construction of the associated Noether momenta. Then the method considers, as the appropriate Hilbert space, the space of functions that are square integrable with respect to a measure related with the PDM and, after that, it establishes the quantization, not of the canonical momenta p, but of the Noether momenta P instead. The quantum Hamiltonian, that depends on the Noether momenta, is obtained as an Hermitian operator defined on the PDM Hilbert space. In the second part several systems with position-dependent mass, most of them related with nonlinear oscillators, are quantized by making use of the method proposed in the first part. info:eu-repo/grantAgreement/ES/DGA/E24-1 info:eu-repo/grantAgreement/ES/MINECO/MTM2014-57129-C2-1-P info:eu-repo/grantAgreement/ES/MINECO/MTM2015-64166-C2-1 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.963 2017 PHYSICS, MATHEMATICAL 13 / 55 = 0.236 2017 Q1 T1 PHYSICS, MULTIDISCIPLINARY 29 / 78 = 0.372 2017 Q2 T2 0.843 2017 Physics and Astronomy (miscellaneous) 2017 Q1 Modeling and Simulation 2017 Q1 Statistics and Probability 2017 Q2 Statistical and Nonlinear Physics 2017 Q2 Mathematical Physics 2017 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0002-8402-2332 Rañada, M. F. Universidad de Zaragoza Santander, M. 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 50, 46 (2017), 465202 [20 pp] Journal of Physics A-Mathematical and Theoretical Journal of Physics A-Mathematical and Theoretical 1751-8113 250312 http://zaguan.unizar.es/record/75567/files/texto_completo.pdf Postprint 51433 http://zaguan.unizar.es/record/75567/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:75567 articulos driver 2019-07-09-12:31:35 ARTICLE