Helium atom in a box: Doubly excited levels within the S-wave model

A numerical method for calculating the full spectrum of the helium atom in a box was developed. The calculations were performed for the S-wave model He, in which only spherical states were taken into account. With the help of time propagation of the relaxed wave function, the autoionization rate by...

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Autor principal: Mitnik, D.M.
Formato: JOUR
Materias:
Computational complexity
Couplings
Eigenvalues and eigenfunctions
Electrons
Hamiltonians
Mathematical models
Numerical methods
Quantum theory
Vectors
Close-coupling techniques
Doubly excited levels
Helium atoms
Wave functions
Helium
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v70_n2_p022703_Mitnik
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10502947_v70_n2_p022703_Mitnik
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spelling todo:paper_10502947_v70_n2_p022703_Mitnik2023-10-03T15:59:40Z Helium atom in a box: Doubly excited levels within the S-wave model Mitnik, D.M. Computational complexity Couplings Eigenvalues and eigenfunctions Electrons Hamiltonians Mathematical models Numerical methods Quantum theory Vectors Close-coupling techniques Doubly excited levels Helium atoms Wave functions Helium A numerical method for calculating the full spectrum of the helium atom in a box was developed. The calculations were performed for the S-wave model He, in which only spherical states were taken into account. With the help of time propagation of the relaxed wave function, the autoionization rate by monitoring the autocorrelation amplitude in time was calculated. The reliability of the numerical procedure was proved when a Fescbach projection of an eigenvector was absolutely consistent with the relaxed wave function. Fil:Mitnik, D.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v70_n2_p022703_Mitnik
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Computational complexity
Couplings
Eigenvalues and eigenfunctions
Electrons
Hamiltonians
Mathematical models
Numerical methods
Quantum theory
Vectors
Close-coupling techniques
Doubly excited levels
Helium atoms
Wave functions
Helium
spellingShingle Computational complexity
Couplings
Eigenvalues and eigenfunctions
Electrons
Hamiltonians
Mathematical models
Numerical methods
Quantum theory
Vectors
Close-coupling techniques
Doubly excited levels
Helium atoms
Wave functions
Helium
Mitnik, D.M.
Helium atom in a box: Doubly excited levels within the S-wave model
topic_facet Computational complexity
Couplings
Eigenvalues and eigenfunctions
Electrons
Hamiltonians
Mathematical models
Numerical methods
Quantum theory
Vectors
Close-coupling techniques
Doubly excited levels
Helium atoms
Wave functions
Helium
description A numerical method for calculating the full spectrum of the helium atom in a box was developed. The calculations were performed for the S-wave model He, in which only spherical states were taken into account. With the help of time propagation of the relaxed wave function, the autoionization rate by monitoring the autocorrelation amplitude in time was calculated. The reliability of the numerical procedure was proved when a Fescbach projection of an eigenvector was absolutely consistent with the relaxed wave function.
format JOUR
author Mitnik, D.M.
author_facet Mitnik, D.M.
author_sort Mitnik, D.M.
title Helium atom in a box: Doubly excited levels within the S-wave model
title_short Helium atom in a box: Doubly excited levels within the S-wave model
title_full Helium atom in a box: Doubly excited levels within the S-wave model
title_fullStr Helium atom in a box: Doubly excited levels within the S-wave model
title_full_unstemmed Helium atom in a box: Doubly excited levels within the S-wave model
title_sort helium atom in a box: doubly excited levels within the s-wave model
url http://hdl.handle.net/20.500.12110/paper_10502947_v70_n2_p022703_Mitnik
work_keys_str_mv AT mitnikdm heliumatominaboxdoublyexcitedlevelswithintheswavemodel
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