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New kinetic energy operator for variable mass systems

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Abstract.

We have derived a new kinetic energy operator for studying variable mass systems. Our operator is dependent on the space deformation profile \( \mu(x)\) subject to the order parameter \( \varsigma\) . At zeroth order, we recover the standard one-dimensional kinetic energy operator for a constant mass system while, for \( \varsigma\geq 1\) , the operator is interpreted as describing a system endowed with a position-dependent effective mass.

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Authors and Affiliations

  1. Mesoscopic and Multilayer Structures Laboratory (MMLS), Department of Physics, Faculty of Science, University of Dschang, P.O. Box 417, West Region, Cameroon

    M. Vubangsi, M. Tchoffo & L. C. Fai

  2. Department of Physics, Higher Teacher’s Training College, University of Bamenda, P.O. Box 39, North West Region, Cameroon

    L. C. Fai

Authors
  1. M. Vubangsi
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  2. M. Tchoffo
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  3. L. C. Fai
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Correspondence to M. Vubangsi.

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Vubangsi, M., Tchoffo, M. & Fai, L.C. New kinetic energy operator for variable mass systems. Eur. Phys. J. Plus 129, 105 (2014). https://doi.org/10.1140/epjp/i2014-14105-4

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  • DOI: https://doi.org/10.1140/epjp/i2014-14105-4

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