Al-Fiziya: Journal of Materials Science, Geophysics, Instrumentation and Theoretical Physics
AL-FIZIYA JOURNAL OF MATERIALS SCIENCE, GEOPHYSICS, INSTRUMENTATION AND THEORETICAL PHYSICS VOL.5, N

Radial wave function of 2D and 3D quantum harmonic oscillator

Adam Badra Cahaya ((ID SCOPUS 56022916000) University of Indonesia, Jakarta)

Article Info

Publish Date
04 Jun 2023

Abstract

One dimensional quantum harmonic oscillator is well studied in elementary textbooks of quantum mechanics. The wave function of one-dimensional oscillator harmonic can be written in term of Hermite polynomial. Due to the symmetry of the spring energy, the wave functions of two-dimensional and three-dimensional harmonic oscillators can be written as products of the one-dimensional case. Because of that, the wave functions of two- and three-dimensional cases are focused on cartesian coordinates. In this article, we utilize polar and spherical coordinates to describe the wave function of two- and three-dimensional harmonic oscillators, respectively. The radial part of the wave functions can be written in term of associated Laguerre polynomials.

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Journal Info
Al-Fiziya: Journal of Materials Science, Geophysics, Instrumentation and Theoretical Physics
Website

Abbrev

al-fiziya

Publisher

Universitas Islam Negeri Syarif Hidayatullah Jakarta

Subject

Earth & Planetary Sciences Electrical & Electronics Engineering Energy Materials Science & Nanotechnology Physics

Description

Al-Fiziya: Journal of Materials Science, Geophysics, Instrumentation and Theoretical Physics is a journal of physics that published by Departement of Physics, Faculty of Science and Technology UIN Syarif Hidayatullah Jakarta. The aim of the journal is to disseminate the researches done by ...