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    • Solutions to the 𝑁-dimensional radial Schrödinger equation for the potential $ar^2 + br − c/r$

      Ramesh Kumar Fakir Chand

      Volume 83 Issue 1 July 2014 pp 39-48

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/083/01/0039-0048

    • Keywords

       

      𝑁-dimensional radial Schrödinger equation; Coulomb perturbed potential; eigenvalue; eigenfunction; quantum dot.

    • Abstract

       

      Approximate solutions to the 𝑁-dimensional radial Schrödinger equation for the potential $ar^2 + br − c/r$ are obtained by employing the formulation described in Ciftci et al, J. Phys. A 43, 415206 (2010). The problem, for some special cases, is solved numerically. Using this analysis, the energy spectra of a two-dimensional two-electron quantum dot (QD) in a magnetic field are also obtained. The results of this study are in good agreement with the other studies.

    • Author Affiliations

       

      Ramesh Kumar1 Fakir Chand2

      1. Department of Applied Physics, S.D. College, Ambala Cantt. 133 001, India
      2. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India

    • Dates

       
      Published
      July 2014
      Manuscript received
      27 July 2013
      Manuscript revised
      21 December 2013
      Accepted
      8 January 2014
      Early published
      7 June 2014

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