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On position-dependent mass harmonic oscillators

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Published under licence by IOP Publishing Ltd
, , Citation S Cruz y Cruz et al 2008 J. Phys.: Conf. Ser. 128 012053 DOI 10.1088/1742-6596/128/1/012053

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1 Departamento de Física, Cinvestav, AP 14-740, México 07000 DF, Mexico

2 Sección de Estudios de Posgrado e Investigación, UPIITA-IPN, Av. IPN 2580, CP 07340 México DF, Mexico

3 Departmento de Física Teórica, Atómica y óptica, Universidad de Valladolid, 47071 Valladolid, Spain

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1742-6596/128/1/012053

Abstract

The classical and quantum position-dependent mass harmonic oscillators are constructed by means of the supersymmetric approach. The correspondence between the classical and the quantum Hamiltonians is used to fix the ordering of the kinetic term in the quantum framework. Some examples are given for different types of mass function.

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10.1088/1742-6596/128/1/012053