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A generalized interaction in noncommutative space: Both relativistic and nonrelativistic fields

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Abstract

We investigate nonrelativistic Schrödinger and relativistic Dirac equations with a rather general interaction, which includes harmonic, linear, Coulomb and inverse square term, in the noncommutative space (NCS) and report the spectrum of the system as well as the associated wave function in a quasi-exact analytical manner.

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Authors and Affiliations

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

    H. Hassanabadi & F. Hoseini

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

    S. Zarrinkamar

Authors
  1. H. Hassanabadi
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  2. F. Hoseini
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  3. S. Zarrinkamar
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Correspondence to H. Hassanabadi.

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Hassanabadi, H., Hoseini, F. & Zarrinkamar, S. A generalized interaction in noncommutative space: Both relativistic and nonrelativistic fields. Eur. Phys. J. Plus 130, 200 (2015). https://doi.org/10.1140/epjp/i2015-15200-8

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  • DOI: https://doi.org/10.1140/epjp/i2015-15200-8

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