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Optical and Quantum Electronics

Erschienen in:

01.01.2016

Solution of Schrödinger equation and optical susceptibility for core–shell nanoparticles using Runge–Kutta method

verfasst von: Abbas Koushki, Ehsan Koushki, Abdollah Gholizadeh

Erschienen in: Optical and Quantum Electronics | Ausgabe 1/2016

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Abstract

In this work, a numerical process based on Runge–Kutta method is represented which gives the solutions of Schrödinger equation for free electrons in a radially symmetric core–shell nanoparticle. The Schrödinger equation in the case of a particle could be solved in spherical coordinates and leads to spherical Bessel equation. The Bessel equation and its solutions differ in the core and the shell of these particles. Solution of this equation gives wave functions of free electrons that are important from the view point of physical properties. The probability of electrons, quantum states and optical properties of the particles could properly be studied using this process. This method is tested for Zn(core)/ZnO(shell) nanoparticles and optical susceptibility of this particles has been studied.

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Titel: Solution of Schrödinger equation and optical susceptibility for core–shell nanoparticles using Runge–Kutta method
verfasst von: Abbas Koushki
Ehsan Koushki
Abdollah Gholizadeh
Publikationsdatum: 01.01.2016
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 1/2016
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-015-0264-5

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