More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and / or momentum

@inproceedings{Quesne2003MoreOA,
  title={More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and / or momentum},
  author={Christiane Quesne and V. M. Tkachuk},
  year={2003}
}
We continue our previous application of supersymmetric quantum mechanical methods to eigenvalue problems in the context of some deformed canonical commutation relations leading to nonzero minimal uncertainties in position and/or momentum. Here we determine for the first time the spectrum and the eigenvectors of a onedimensional harmonic oscillator in the presence of a uniform electric field in terms of the deforming parameters α, β. We establish that whenever there is a nonzero minimal… CONTINUE READING

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