---
title: "Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation. • CBPF Index"
description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb2f6"
locale: es
meta:
  "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Noncommutative%2Boscillators%2Bfrom%2Ba%2BHopf%2Balgebra%2Btwist%2Bdeformation.%2BA%2Bfirst%2Bprinciples%2Bderivation.%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~UmljYXJkbyBLdWxsb2NrOyBQLiBHLiBDYXN0cm87IEIuIENoYWtyYWJvcnR5%2Cdetalhe_~MjYvMDEvMjAxMQ%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIyZjYi%2Cs_32sN6l192komVGEl.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation. • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Noncommutative%2Boscillators%2Bfrom%2Ba%2BHopf%2Balgebra%2Btwist%2Bdeformation.%2BA%2Bfirst%2Bprinciples%2Bderivation.%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~UmljYXJkbyBLdWxsb2NrOyBQLiBHLiBDYXN0cm87IEIuIENoYWtyYWJvcnR5%2Cdetalhe_~MjYvMDEvMjAxMQ%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIyZjYi%2Cs_32sN6l192komVGEl.png"
---

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

**Nota de Física****Publicado**

# **Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation.**

**Ricardo Kullock; P. G. Castro; B. Chakraborty**

26/01/2011

[**Descargar PDF **0,3 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb2f6/pdf) [**Contactar al responsable**](mailto:toppan@cbpf.br?subject=Noncommutative%20oscillators%20from%20a%20Hopf%20algebra%20twist%20deformation.%20A%20first%20principles%20derivation.)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>Ricardo Kullock; P. G. Castro; B. Chakraborty</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>26/01/2011</dd>

<dt>Descripción</dt>
<dd>Noncommutative oscillators are first-quantized through an abelian Drinfel'd twist deformation of a Hopf algebra and its action on a module. Several important and subtle issues making possible the quantization are solved. The spectrum of the single-particle Hamiltonians is computed. The multi-particle Hamiltonians are fixed, unambiguously, by the Hopf algebra coproduct. The symmetry under particle exchange is guaranteed. In $d=2$ dimensions the rotational invariance is preserved, while in $d=3$ the $so(3)$ rotational invariance is broken down to an $so(2)$ invariance.</dd>

<dt>Año</dt>
<dd>2010</dd>

<dt>Número</dt>
<dd>CBPF-NF-003/10</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/es#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":"es-ES","name":"CBPF Index","url":"https://index.cbpf.br/es","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb2f6#webpage","@type":"WebPage","description":"CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF.","name":"Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation.","url":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb2f6","isPartOf":{"@id":"https://index.cbpf.br/es#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb2f6"]}],"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":"es-ES","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

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