A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/240397 |
Resumo: | This work presents a scalar self-consistent quantum model for molecular simulation. This model employs Bäcklund transformations to eliminate the wave function from Klein-Gordon and Schrödinger-type equations. The nonlinear PDE obtained after coupling the quantum model with the Gauss law of electromagnetism contains only the interaction potential. The analytical solutions obtained reproduce some relevant effects related to the evolution of the electronic clouds induced by nonlinear scattering. One of the most relevant results obtained from this new formulation is to confirm and fully justify the fact that Cl2 molecules do not react directly with aromatic rings. This result cannot be reproduced by classical models for molecular simulation. On the other hand, quantum chemistry only furnishes indicia that such electrophilic reactions may not occur, but does not shows explicitly how the electronic clouds evolve along the chemical process. |
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Zabadal, Jorge Rodolfo SilvaStaudt, EdersonRibeiro, Vinicius GadisPetersen, Claudio ZenSchramm, Marcelo2022-06-15T04:48:19Z20222333-9721http://hdl.handle.net/10183/240397001142358This work presents a scalar self-consistent quantum model for molecular simulation. This model employs Bäcklund transformations to eliminate the wave function from Klein-Gordon and Schrödinger-type equations. The nonlinear PDE obtained after coupling the quantum model with the Gauss law of electromagnetism contains only the interaction potential. The analytical solutions obtained reproduce some relevant effects related to the evolution of the electronic clouds induced by nonlinear scattering. One of the most relevant results obtained from this new formulation is to confirm and fully justify the fact that Cl2 molecules do not react directly with aromatic rings. This result cannot be reproduced by classical models for molecular simulation. On the other hand, quantum chemistry only furnishes indicia that such electrophilic reactions may not occur, but does not shows explicitly how the electronic clouds evolve along the chemical process.application/pdfengOpen Access Library Journal. [British Virgin Islands, UK]. Vol. 9, n. 5 (May 2022), p. 1-17.Transformações de BäcklundNonlinear quantum modelsBäcklund transformationsAnalytical solutionA quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformationsEstrangeiroinfo: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:UFRGSTEXT001142358.pdf.txt001142358.pdf.txtExtracted Texttext/plain34016http://www.lume.ufrgs.br/bitstream/10183/240397/2/001142358.pdf.txtbd3d03ad1b1087a92e036f0b0c7aa76bMD52ORIGINAL001142358.pdfTexto completo (inglês)application/pdf1015233http://www.lume.ufrgs.br/bitstream/10183/240397/1/001142358.pdfc48c1e0afe500bc647e4ee987f158db7MD5110183/2403972022-08-17 04:49:29.515759oai:www.lume.ufrgs.br:10183/240397Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2022-08-17T07:49:29Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations |
title |
A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations |
spellingShingle |
A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations Zabadal, Jorge Rodolfo Silva Transformações de Bäcklund Nonlinear quantum models Bäcklund transformations Analytical solution |
title_short |
A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations |
title_full |
A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations |
title_fullStr |
A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations |
title_full_unstemmed |
A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations |
title_sort |
A quantum toy-model for inelastic scattering and catalysis based on Bäcklund transformations |
author |
Zabadal, Jorge Rodolfo Silva |
author_facet |
Zabadal, Jorge Rodolfo Silva Staudt, Ederson Ribeiro, Vinicius Gadis Petersen, Claudio Zen Schramm, Marcelo |
author_role |
author |
author2 |
Staudt, Ederson Ribeiro, Vinicius Gadis Petersen, Claudio Zen Schramm, Marcelo |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Zabadal, Jorge Rodolfo Silva Staudt, Ederson Ribeiro, Vinicius Gadis Petersen, Claudio Zen Schramm, Marcelo |
dc.subject.por.fl_str_mv |
Transformações de Bäcklund |
topic |
Transformações de Bäcklund Nonlinear quantum models Bäcklund transformations Analytical solution |
dc.subject.eng.fl_str_mv |
Nonlinear quantum models Bäcklund transformations Analytical solution |
description |
This work presents a scalar self-consistent quantum model for molecular simulation. This model employs Bäcklund transformations to eliminate the wave function from Klein-Gordon and Schrödinger-type equations. The nonlinear PDE obtained after coupling the quantum model with the Gauss law of electromagnetism contains only the interaction potential. The analytical solutions obtained reproduce some relevant effects related to the evolution of the electronic clouds induced by nonlinear scattering. One of the most relevant results obtained from this new formulation is to confirm and fully justify the fact that Cl2 molecules do not react directly with aromatic rings. This result cannot be reproduced by classical models for molecular simulation. On the other hand, quantum chemistry only furnishes indicia that such electrophilic reactions may not occur, but does not shows explicitly how the electronic clouds evolve along the chemical process. |
publishDate |
2022 |
dc.date.accessioned.fl_str_mv |
2022-06-15T04:48:19Z |
dc.date.issued.fl_str_mv |
2022 |
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/10183/240397 |
dc.identifier.issn.pt_BR.fl_str_mv |
2333-9721 |
dc.identifier.nrb.pt_BR.fl_str_mv |
001142358 |
identifier_str_mv |
2333-9721 001142358 |
url |
http://hdl.handle.net/10183/240397 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Open Access Library Journal. [British Virgin Islands, UK]. Vol. 9, n. 5 (May 2022), p. 1-17. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRGS instname:Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
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Universidade Federal do Rio Grande do Sul (UFRGS) |
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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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