Application of the VFM to the Zeeman Effect in Hydrogen
- Autores
- Arteca, Gustavo Alberto; Fernández, Francisco Marcelo; Castro, Eduardo Alberto
- Año de publicación
- 1990
- Idioma
- español castellano
- Tipo de recurso
- parte de libro
- Estado
- versión publicada
- Descripción
- Let us consider a hydrogen atom of nuclear charge Z, placed in an external uniform magnetic field along the x3≡z direction. The Hamiltonian operator describing this system in the non-relativistic approximation, and with suitable units (Appendix H), is: [fórmula]. Wherer [fórmula]. Let E (Z, λ) denote the set of eigenvalues of that portion of H excluding the paramagnetic field terms (Eq. (31.1)), i.e.: [fórmula]. The importance of this problem was already widely discussed in §.30.As pointed out, the eigenvalue problem has no analytic solution due to the coupling of the two coulombic degrees of freedom (p and x3). Our purpose is to apply the VFM to derive valid approximate expressions for E(Z,A), VX>0 /1,2/.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas - Materia
-
Ciencias Exactas
Física
hydrogen atom
Zeeman effect - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/132926
Ver los metadatos del registro completo
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Application of the VFM to the Zeeman Effect in HydrogenArteca, Gustavo AlbertoFernández, Francisco MarceloCastro, Eduardo AlbertoCiencias ExactasFísicahydrogen atomZeeman effectLet us consider a hydrogen atom of nuclear charge Z, placed in an external uniform magnetic field along the x3≡z direction. The Hamiltonian operator describing this system in the non-relativistic approximation, and with suitable units (Appendix H), is: [fórmula]. Wherer [fórmula]. Let E (Z, λ) denote the set of eigenvalues of that portion of H excluding the paramagnetic field terms (Eq. (31.1)), i.e.: [fórmula]. The importance of this problem was already widely discussed in §.30.As pointed out, the eigenvalue problem has no analytic solution due to the coupling of the two coulombic degrees of freedom (p and x3). Our purpose is to apply the VFM to derive valid approximate expressions for E(Z,A), VX>0 /1,2/.Instituto de Investigaciones Fisicoquímicas Teóricas y AplicadasSpringer1990info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/publishedVersionCapitulo de librohttp://purl.org/coar/resource_type/c_3248info:ar-repo/semantics/parteDeLibroapplication/pdf254-271http://sedici.unlp.edu.ar/handle/10915/132926spainfo:eu-repo/semantics/altIdentifier/isbn/978-3-642-93469-8info:eu-repo/semantics/altIdentifier/issn/0342-4901info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-642-93469-8_11info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-10T12:34:20Zoai:sedici.unlp.edu.ar:10915/132926Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-10 12:34:20.356SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Application of the VFM to the Zeeman Effect in Hydrogen |
| title |
Application of the VFM to the Zeeman Effect in Hydrogen |
| spellingShingle |
Application of the VFM to the Zeeman Effect in Hydrogen Arteca, Gustavo Alberto Ciencias Exactas Física hydrogen atom Zeeman effect |
| title_short |
Application of the VFM to the Zeeman Effect in Hydrogen |
| title_full |
Application of the VFM to the Zeeman Effect in Hydrogen |
| title_fullStr |
Application of the VFM to the Zeeman Effect in Hydrogen |
| title_full_unstemmed |
Application of the VFM to the Zeeman Effect in Hydrogen |
| title_sort |
Application of the VFM to the Zeeman Effect in Hydrogen |
| dc.creator.none.fl_str_mv |
Arteca, Gustavo Alberto Fernández, Francisco Marcelo Castro, Eduardo Alberto |
| author |
Arteca, Gustavo Alberto |
| author_facet |
Arteca, Gustavo Alberto Fernández, Francisco Marcelo Castro, Eduardo Alberto |
| author_role |
author |
| author2 |
Fernández, Francisco Marcelo Castro, Eduardo Alberto |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física hydrogen atom Zeeman effect |
| topic |
Ciencias Exactas Física hydrogen atom Zeeman effect |
| dc.description.none.fl_txt_mv |
Let us consider a hydrogen atom of nuclear charge Z, placed in an external uniform magnetic field along the x3≡z direction. The Hamiltonian operator describing this system in the non-relativistic approximation, and with suitable units (Appendix H), is: [fórmula]. Wherer [fórmula]. Let E (Z, λ) denote the set of eigenvalues of that portion of H excluding the paramagnetic field terms (Eq. (31.1)), i.e.: [fórmula]. The importance of this problem was already widely discussed in §.30.As pointed out, the eigenvalue problem has no analytic solution due to the coupling of the two coulombic degrees of freedom (p and x3). Our purpose is to apply the VFM to derive valid approximate expressions for E(Z,A), VX>0 /1,2/. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas |
| description |
Let us consider a hydrogen atom of nuclear charge Z, placed in an external uniform magnetic field along the x3≡z direction. The Hamiltonian operator describing this system in the non-relativistic approximation, and with suitable units (Appendix H), is: [fórmula]. Wherer [fórmula]. Let E (Z, λ) denote the set of eigenvalues of that portion of H excluding the paramagnetic field terms (Eq. (31.1)), i.e.: [fórmula]. The importance of this problem was already widely discussed in §.30.As pointed out, the eigenvalue problem has no analytic solution due to the coupling of the two coulombic degrees of freedom (p and x3). Our purpose is to apply the VFM to derive valid approximate expressions for E(Z,A), VX>0 /1,2/. |
| publishDate |
1990 |
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1990 |
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info:eu-repo/semantics/bookPart info:eu-repo/semantics/publishedVersion Capitulo de libro http://purl.org/coar/resource_type/c_3248 info:ar-repo/semantics/parteDeLibro |
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Springer |
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