Bohr's stopping-power formula derived for a classical free-electron gas

Detalhes bibliográficos
Autor(a) principal: Grande, Pedro Luis
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/235115
Resumo: Bohr's centenary stopping-power formula is rederived for a free electron gas (FEG) system within the framework of nonrelativistic classical mechanics. A simple and more concise expression for the stopping power of charged particles in FEG is demonstrated on classical grounds. Using semiclassical arguments and the Euler-Maclaurin well-known mathematical formula, Bloch's correction that links Bethe's quantum theory to Bohr's classical model is also recovered. The proposed semiclassical stopping-power formula contains the main physical ingredients for a general stopping formula applicable for different systems and energies and facilitates computational calculations.
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spelling Grande, Pedro Luis2022-02-12T04:53:49Z20211050-2947http://hdl.handle.net/10183/235115001130276Bohr's centenary stopping-power formula is rederived for a free electron gas (FEG) system within the framework of nonrelativistic classical mechanics. A simple and more concise expression for the stopping power of charged particles in FEG is demonstrated on classical grounds. Using semiclassical arguments and the Euler-Maclaurin well-known mathematical formula, Bloch's correction that links Bethe's quantum theory to Bohr's classical model is also recovered. The proposed semiclassical stopping-power formula contains the main physical ingredients for a general stopping formula applicable for different systems and energies and facilitates computational calculations.application/pdfengPhysical review. A, Atomic, molecular, and optical physics. New York. Vol. 104, no. 1 (July 2021), 012807, 6 p.Gas de fermiPerda de energia de particulasPoder de freamento eletronicoBohr's stopping-power formula derived for a classical free-electron gasEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT001130276.pdf.txt001130276.pdf.txtExtracted Texttext/plain24694http://www.lume.ufrgs.br/bitstream/10183/235115/2/001130276.pdf.txt8cff323a3cf01b066659579449546e37MD52ORIGINAL001130276.pdfTexto completo (inglês)application/pdf484837http://www.lume.ufrgs.br/bitstream/10183/235115/1/001130276.pdfc5c4fda7c568f02dc46a2a36844841eeMD5110183/2351152024-05-24 06:42:28.148916oai:www.lume.ufrgs.br:10183/235115Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-05-24T09:42:28Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Bohr's stopping-power formula derived for a classical free-electron gas
title Bohr's stopping-power formula derived for a classical free-electron gas
spellingShingle Bohr's stopping-power formula derived for a classical free-electron gas
Grande, Pedro Luis
Gas de fermi
Perda de energia de particulas
Poder de freamento eletronico
title_short Bohr's stopping-power formula derived for a classical free-electron gas
title_full Bohr's stopping-power formula derived for a classical free-electron gas
title_fullStr Bohr's stopping-power formula derived for a classical free-electron gas
title_full_unstemmed Bohr's stopping-power formula derived for a classical free-electron gas
title_sort Bohr's stopping-power formula derived for a classical free-electron gas
author Grande, Pedro Luis
author_facet Grande, Pedro Luis
author_role author
dc.contributor.author.fl_str_mv Grande, Pedro Luis
dc.subject.por.fl_str_mv Gas de fermi
Perda de energia de particulas
Poder de freamento eletronico
topic Gas de fermi
Perda de energia de particulas
Poder de freamento eletronico
description Bohr's centenary stopping-power formula is rederived for a free electron gas (FEG) system within the framework of nonrelativistic classical mechanics. A simple and more concise expression for the stopping power of charged particles in FEG is demonstrated on classical grounds. Using semiclassical arguments and the Euler-Maclaurin well-known mathematical formula, Bloch's correction that links Bethe's quantum theory to Bohr's classical model is also recovered. The proposed semiclassical stopping-power formula contains the main physical ingredients for a general stopping formula applicable for different systems and energies and facilitates computational calculations.
publishDate 2021
dc.date.issued.fl_str_mv 2021
dc.date.accessioned.fl_str_mv 2022-02-12T04:53:49Z
dc.type.driver.fl_str_mv Estrangeiro
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/235115
dc.identifier.issn.pt_BR.fl_str_mv 1050-2947
dc.identifier.nrb.pt_BR.fl_str_mv 001130276
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url http://hdl.handle.net/10183/235115
dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. A, Atomic, molecular, and optical physics. New York. Vol. 104, no. 1 (July 2021), 012807, 6 p.
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reponame_str Repositório Institucional da UFRGS
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