A Realization of the q-Deformed Harmonic Oscillator: Rogers-Szegö and Stieltjes-Wigert Polynomials
Fuente:
Redalyc
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Artículo científico |
| Lingua: | en |
| Pubblicazione: |
Sociedade Brasileira de Física
2003
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1876455691807358976 |
|---|---|
| author | Diógenes Galetti |
| author_facet | Diógenes Galetti |
| contents | A Realization of the q-Deformed Harmonic Oscillator: Rogers-Szegö and Stieltjes-Wigert Polynomials Diógenes Galetti Física, Astronomía y Matemáticas We discuss some results from q-series that can account for the foundations for the introduction of orthogonal polynomials on the circle and on the line, namely the Rogers-Szegö and Stieltjes-Wigert polynomials. These polynomials are explicitly written and their orthogonality is verified. Explicit realizations of the raising and lowering operators for these polynomials are introduced in analogy to those of the Hermite polynomials that are shown to obey the q-commutation relations associated with the q-deformed harmonic oscillator. 2003 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413520015 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.33 |
| format | Artículo científico |
| id | redalyc_46413520015 |
| institution | Redalyc |
| language | en |
| publishDate | 2003 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | A Realization of the q-Deformed Harmonic Oscillator: Rogers-Szegö and Stieltjes-Wigert Polynomials Diógenes Galetti Física, Astronomía y Matemáticas A Realization of the q-Deformed Harmonic Oscillator: Rogers-Szegö and Stieltjes-Wigert Polynomials Diógenes Galetti Física, Astronomía y Matemáticas We discuss some results from q-series that can account for the foundations for the introduction of orthogonal polynomials on the circle and on the line, namely the Rogers-Szegö and Stieltjes-Wigert polynomials. These polynomials are explicitly written and their orthogonality is verified. Explicit realizations of the raising and lowering operators for these polynomials are introduced in analogy to those of the Hermite polynomials that are shown to obey the q-commutation relations associated with the q-deformed harmonic oscillator. 2003 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413520015 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.33 |
| title | A Realization of the q-Deformed Harmonic Oscillator: Rogers-Szegö and Stieltjes-Wigert Polynomials |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46413520015 |