Applications of the Numerov method to simple quantum systems using Python

Applications of the Numerov method to simple quantum systems using Python

Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by the Morse potential and a quantum dot. After a brief introduction to the Numerov method, the complete code to calculate the eigenfunctions and eigenvalues of the hydrogen atom is presented. The necessary code changes to compute the other two examples are also provided in the sequel.

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Main Authors: Caruso,Francisco, Oguri,Vitor, Silveira,Felipe
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2022
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100442
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spelling oai:scielo:S1806-111720220001004422022-06-07Applications of the Numerov method to simple quantum systems using PythonCaruso,FranciscoOguri,VitorSilveira,Felipe Hydrogen Atom Morse Potential Quantum Dot Numerov method Python Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by the Morse potential and a quantum dot. After a brief introduction to the Numerov method, the complete code to calculate the eigenfunctions and eigenvalues of the hydrogen atom is presented. The necessary code changes to compute the other two examples are also provided in the sequel.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física v.44 20222022-01-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100442en10.1590/1806-9126-rbef-2022-0098
institution SCIELO
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country Brasil
countrycode BR
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region America del Sur
libraryname SciELO
language English
format Digital
author Caruso,Francisco
Oguri,Vitor
Silveira,Felipe
spellingShingle Caruso,Francisco
Oguri,Vitor
Silveira,Felipe
Applications of the Numerov method to simple quantum systems using Python
author_facet Caruso,Francisco
Oguri,Vitor
Silveira,Felipe
author_sort Caruso,Francisco
title Applications of the Numerov method to simple quantum systems using Python
title_short Applications of the Numerov method to simple quantum systems using Python
title_full Applications of the Numerov method to simple quantum systems using Python
title_fullStr Applications of the Numerov method to simple quantum systems using Python
title_full_unstemmed Applications of the Numerov method to simple quantum systems using Python
title_sort applications of the numerov method to simple quantum systems using python
description Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by the Morse potential and a quantum dot. After a brief introduction to the Numerov method, the complete code to calculate the eigenfunctions and eigenvalues of the hydrogen atom is presented. The necessary code changes to compute the other two examples are also provided in the sequel.
publisher Sociedade Brasileira de Física
publishDate 2022
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100442
work_keys_str_mv AT carusofrancisco applicationsofthenumerovmethodtosimplequantumsystemsusingpython
AT ogurivitor applicationsofthenumerovmethodtosimplequantumsystemsusingpython
AT silveirafelipe applicationsofthenumerovmethodtosimplequantumsystemsusingpython
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