Hypervirial and Hellmann-Feynman theorems applied to the calculation of energy levels for relativistic particles

The nonrelativistic hypervirial Hellmann-Feynman method developed recently is extended to deal with relativistic particles bound in a spherically symmetric potential. A simple analytical procedure for calculating correction terms of arbitrary high orders is derived. Numerical results obtained throug...

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Detalles Bibliográficos
Autores principales: Kwato-Njock, M G, Nsangou, M, Oumarou, B, Onana-Boyomo, M
Lenguaje:eng
Publicado: 2002
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/646684
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author Kwato-Njock, M G
Nsangou, M
Oumarou, B
Onana-Boyomo, M
author_facet Kwato-Njock, M G
Nsangou, M
Oumarou, B
Onana-Boyomo, M
author_sort Kwato-Njock, M G
collection CERN
description The nonrelativistic hypervirial Hellmann-Feynman method developed recently is extended to deal with relativistic particles bound in a spherically symmetric potential. A simple analytical procedure for calculating correction terms of arbitrary high orders is derived. Numerical results obtained through a study of the screened Coulomb potential enable us to illustrate the improvements of our procedure over the previous approaches.
id cern-646684
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
record_format invenio
spelling cern-6466842019-09-30T06:29:59Zhttp://cds.cern.ch/record/646684engKwato-Njock, M GNsangou, MOumarou, BOnana-Boyomo, MHypervirial and Hellmann-Feynman theorems applied to the calculation of energy levels for relativistic particlesXXThe nonrelativistic hypervirial Hellmann-Feynman method developed recently is extended to deal with relativistic particles bound in a spherically symmetric potential. A simple analytical procedure for calculating correction terms of arbitrary high orders is derived. Numerical results obtained through a study of the screened Coulomb potential enable us to illustrate the improvements of our procedure over the previous approaches.IC-2002-50oai:cds.cern.ch:6466842002
spellingShingle XX
Kwato-Njock, M G
Nsangou, M
Oumarou, B
Onana-Boyomo, M
Hypervirial and Hellmann-Feynman theorems applied to the calculation of energy levels for relativistic particles
title Hypervirial and Hellmann-Feynman theorems applied to the calculation of energy levels for relativistic particles
title_full Hypervirial and Hellmann-Feynman theorems applied to the calculation of energy levels for relativistic particles
title_fullStr Hypervirial and Hellmann-Feynman theorems applied to the calculation of energy levels for relativistic particles
title_full_unstemmed Hypervirial and Hellmann-Feynman theorems applied to the calculation of energy levels for relativistic particles
title_short Hypervirial and Hellmann-Feynman theorems applied to the calculation of energy levels for relativistic particles
title_sort hypervirial and hellmann-feynman theorems applied to the calculation of energy levels for relativistic particles
topic XX
url http://cds.cern.ch/record/646684
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AT nsangoum hypervirialandhellmannfeynmantheoremsappliedtothecalculationofenergylevelsforrelativisticparticles
AT oumaroub hypervirialandhellmannfeynmantheoremsappliedtothecalculationofenergylevelsforrelativisticparticles
AT onanaboyomom hypervirialandhellmannfeynmantheoremsappliedtothecalculationofenergylevelsforrelativisticparticles

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