Application of the VFM to the Zeeman Effect in Hydrogen

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) denot...

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Autores principales: Arteca, Gustavo Alberto, Fernández, Francisco Marcelo, Castro, Eduardo Alberto
Formato: Libro Capitulo de libro
Lenguaje:Español
Publicado: Springer 1990
Materias:
Ciencias Exactas
Física
hydrogen atom
Zeeman effect
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132926
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132926
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Ciencias Exactas
Física
hydrogen atom
Zeeman effect
spellingShingle Ciencias Exactas
Física
hydrogen atom
Zeeman effect
Arteca, Gustavo Alberto
Fernández, Francisco Marcelo
Castro, Eduardo Alberto
Application of the VFM to the Zeeman Effect in Hydrogen
topic_facet Ciencias Exactas
Física
hydrogen atom
Zeeman effect
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/.
format Libro
Capitulo de libro
author Arteca, Gustavo Alberto
Fernández, Francisco Marcelo
Castro, Eduardo Alberto
author_facet Arteca, Gustavo Alberto
Fernández, Francisco Marcelo
Castro, Eduardo Alberto
author_sort Arteca, Gustavo Alberto
title Application of the VFM to the Zeeman Effect in Hydrogen
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
publisher Springer
publishDate 1990
url http://sedici.unlp.edu.ar/handle/10915/132926
work_keys_str_mv AT artecagustavoalberto applicationofthevfmtothezeemaneffectinhydrogen
AT fernandezfranciscomarcelo applicationofthevfmtothezeemaneffectinhydrogen
AT castroeduardoalberto applicationofthevfmtothezeemaneffectinhydrogen
bdutipo_str Repositorios
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