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

• Fulltext

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

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

• Pramana – Journal of Physics

Volume 96, 2022
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