Ladder Operators for the Spherical 3D Harmonic Oscillator

Autor:	Elso Drigo Filho, João Marcos Costa Monteiro
Přispěvatelé:	Universidade Estadual Paulista (Unesp)
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Physics Alternative methods QC1-999 Isotropy Mathematical analysis Harmonic oscillator Shape invariance General Physics and Astronomy Supersymmetric quantum mechanics Education Schrödinger equation symbols.namesake Ladder operator Spatial reference system Ladder operators symbols Point (geometry)
Zdroj:	Revista Brasileira de Ensino de Física v.43 2021 Revista Brasileira de Ensino de Física Sociedade Brasileira de Física (SBF) instacron:SBF Revista Brasileira de Ensino de Física, Vol 43 (2020) SciELO Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP
ISSN:	1806-1117
Popis:	Made available in DSpace on 2021-07-14T10:31:27Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-12-21. Added 1 bitstream(s) on 2021-07-14T11:32:07Z : No. of bitstreams: 1 S1806-11172021000100410.pdf: 460980 bytes, checksum: f2347d664650114c993e47a62cca41c9 (MD5) The Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics. Generalized ladder operators can be constructed for the three spherical spatial coordinates. Special emphasis is given to the adaptation made to each of these coordinates. The approach used is general and is indicated as an alternative method to solve the Schrödinger equation. Universidade Estadual Paulista, Instituto de Biociências, Letras e Ciências Exatas Universidade Estadual Paulista, Instituto de Biociências, Letras e Ciências Exatas
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9055c3c84f22055d1a9a3b730feb53ff http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100410 Zobrazit plný text záznamu