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The Generalized Uncertainty Principle and Harmonic Interaction in Three Spatial Dimensions

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Abstract

In three spatial dimensions, the generalized uncertainty principle is considered under an isotropic harmonic oscillator interaction in both non-relativistic and relativistic regions. By using novel transformations and separations of variables, the exact analytical solution of energy eigenvalues as well as the wave functions is obtained. Time evolution of the non-relativistic region is also reported.

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Authors and Affiliations

  1. Physics Department, Shahrood University, P. O. Box: 3619995161-316, Shahrood, Iran

    H. Hassanabadi & P. Hooshmand

  2. Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

    S. Zarrinkamar

Authors
  1. H. Hassanabadi
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  2. P. Hooshmand
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  3. S. Zarrinkamar
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Correspondence to H. Hassanabadi.

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Hassanabadi, H., Hooshmand, P. & Zarrinkamar, S. The Generalized Uncertainty Principle and Harmonic Interaction in Three Spatial Dimensions. Few-Body Syst 56, 19–27 (2015). https://doi.org/10.1007/s00601-014-0910-7

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  • DOI: https://doi.org/10.1007/s00601-014-0910-7

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