Bohr's stopping-power formula derived for a classical free-electron gas
Autor(a) principal: | |
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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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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 info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
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 |
identifier_str_mv |
1050-2947 001130276 |
url |
http://hdl.handle.net/10183/235115 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
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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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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UFRGS |
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Repositório Institucional da UFRGS |
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Repositório Institucional da UFRGS |
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