---
title: "Numerical Studies of Relativistic Corrections to Fermion Dynamics and the Aharonov-Casher Effect • CBPF Index"
description: "O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF."
canonical_url: "https://index.cbpf.br/publicacoes/6ad2a767639f62b11adbafd1"
locale: pt
meta:
  "og:description": "O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Numerical%2BStudies%2Bof%2BRelativistic%2BCorrections%2Bto%2BFermion%2BDynamics%2Band%2Bthe%2BAharonov-Casher%2BEffect%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~TC4gRy4gRmVycmVpcmEgRmlsaG87IEpvc8OpIEFiZGFsbGEgSGVsYXllbCBOZXRvOyBKb3PDqSBMdWlzIENoYXVjYSBNdXJnYTsgR3J1cG8gZGUgRsOtc2ljYSBUZcOzcmljYSBKb3PDqSBMZWl0ZSBMb3Blcw%2Cdetalhe_2004%2Csecao_~UHVibGljYcOnw7Vlcw%2Cp_Ii9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmFmZDEi%2Cs_2eVilOTC0j_Z4Iu4.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Numerical Studies of Relativistic Corrections to Fermion Dynamics and the Aharonov-Casher Effect • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Numerical%2BStudies%2Bof%2BRelativistic%2BCorrections%2Bto%2BFermion%2BDynamics%2Band%2Bthe%2BAharonov-Casher%2BEffect%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~TC4gRy4gRmVycmVpcmEgRmlsaG87IEpvc8OpIEFiZGFsbGEgSGVsYXllbCBOZXRvOyBKb3PDqSBMdWlzIENoYXVjYSBNdXJnYTsgR3J1cG8gZGUgRsOtc2ljYSBUZcOzcmljYSBKb3PDqSBMZWl0ZSBMb3Blcw%2Cdetalhe_2004%2Csecao_~UHVibGljYcOnw7Vlcw%2Cp_Ii9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmFmZDEi%2Cs_2eVilOTC0j_Z4Iu4.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Nota de Física****Publicado**

# **Numerical Studies of Relativistic Corrections to Fermion Dynamics and the Aharonov-Casher Effect**

**L. G. Ferreira Filho; José Abdalla Helayel Neto; José Luis Chauca Murga; Grupo de Física Teórica José Leite Lopes**

2004

[**Baixar PDF **0,1 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbafd1/pdf) [**Contatar responsável**](mailto:apub@cbpf.br?subject=Numerical%20Studies%20of%20Relativistic%20Corrections%20to%20Fermion%20Dynamics%20and%20the%20Aharonov-Casher%20Effect)

## **Dados da publicação**

<dl>

<dt>Autores</dt>
<dd>L. G. Ferreira Filho; José Abdalla Helayel Neto; José Luis Chauca Murga; Grupo de Física Teórica José Leite Lopes</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Status</dt>
<dd>Publicado</dd>

<dt>Data de publicação</dt>
<dd>2004</dd>

<dt>Descrição</dt>
<dd>Dirac's equation with minimal eletromagnetic coupling yields, in the weakly relativistic regime, the Pauli's equation for two-component minimally-interacting electron endowed with magnetic moment coupling and the right value of the Land\'{e} g-factor, g=2. On the other hand, another remarkable feature associated with spinning particles is the coupling of the magnetic dipole moment to an electric field, which gives rise to the so-called Aharonov-Casher phase for the wave function of the test particle. This phase shift shows up even though there is no force acting on the particle, just as in the familiar case of the Aharonov-Bohm effect. The most accurate experimental measurements of the spin-electric field interaction are carried out with atomic systems. This work sets out to investigate how the Aharonov-Casher effect may be related to the relativistic regime: in practical terms, how it may appear by means of relativistic corrections to the Schr\"{o}dinger equation, once an external eletromagnetic field is switched on. One should understand at which order of velocities the Aharonov-Casher shift arises, either by adding up higher-order gradient terms to the Schr\"{o}dinger equation or by carring out the non-relativistic limit of Dirac's equation with higher-derivative terms. The latter has very interesting consequences whenever adjoined to the Dirac's equation, leading to a rich excitation spectrum and inducing interesting couplings in the low-energy regime. In view of the calculational complexity inherent to the task of finding solutions to these higher-derivatives partial differential equations, wave-function solutions and phase shifts have to be searched for with the help of numerical methods and computer-algebra softwares.</dd>

<dt>Ano</dt>
<dd>2004</dd>

<dt>Número</dt>
<dd>CBPF-NF-012/04</dd>

<dt>Vínculo com tese</dt>
<dd>Não</dd>

<dt>Vínculo com bolsa</dt>
<dd>Não</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"pt-BR","name":"CBPF Index","url":"https://index.cbpf.br/","publisher":{"@id":"https://index.cbpf.br/#identity"},"workTranslation":[{"@id":"https://index.cbpf.br/en#website"},{"@id":"https://index.cbpf.br/es#website"}]},{"@id":"https://index.cbpf.br/publicacoes/6ad2a767639f62b11adbafd1#webpage","@type":"WebPage","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","name":"Numerical Studies of Relativistic Corrections to Fermion Dynamics and the Aharonov-Casher Effect","url":"https://index.cbpf.br/publicacoes/6ad2a767639f62b11adbafd1","isPartOf":{"@id":"https://index.cbpf.br/#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/publicacoes/6ad2a767639f62b11adbafd1"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"pt-BR","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.