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International Journal of Theoretical Physics

, Volume 52, Issue 3, pp 837–848 | Cite as

Hydrogenic Impurity States in a Quantum Pseudodot: Spin-Orbit Interaction, Relativistic Correction, and Diamagnetic Susceptibility

  • R. Khordad
Article

Abstract

We have studied three characteristics of a hydrogenic impurity located in the center of a quantum pseudodot within the effective mass approximation. These characteristics are the diamagnetic susceptibility, the spin-orbit interaction (SOI), and the relativistic correction (RC). First, we have solved analytically the Shrödinger equation without impurity by using the Laplace transformation. Then, we have applied the variational procedure to obtain energy levels and wave functions with a hydrogenic impurity in the center of quantum pseudodot. According to the results obtained from the present work reveals that (i) the diamagnetic susceptibility increases with increasing the pseudodot size, (ii) The mean value of r 2 increases when the pseudodot size increases, (iii) the SOI and RC increase by increasing the potential V 0, (iv) the RC and SOI approach to zero when the pseudodot increases, (v) the splitting between j=1/2 and 3/2 due to the SOI decreases by increasing pseudodot size.

Keywords

Quantum pseudodot Relativistic correction Spin-orbit interaction Diamagnetic susceptibility 

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Department of Physics, College of SciencesYasouj UniversityYasoujIran

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