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**Nota de Física****Publicado**

# **Symmetries of the Schrödinger Equation and Algebra/Superalgebra Duality**

**F. Toppan**

05/12/2014

[**Descargar PDF **0,5 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbcbad/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Symmetries%20of%20the%20Schr%C3%B6dinger%20Equation%20and%20Algebra%2FSuperalgebra%20Duality)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>F. Toppan</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

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

<dt>Fecha de publicación</dt>
<dd>05/12/2014</dd>

<dt>Descripción</dt>
<dd>Some key features of the symmetries of the Schr\"odinger equation that are common to a much broader class of dynamical systems (some under construction) are illustrated. I discuss the algebra/superalgebra duality involving first and second-order differential operators. It provides different viewpoints for the spectrum-generating subalgebras. The representation-dependent notion of on-shell symmetry is introduced. The difference in associating the time-derivative symmetry operator with either a root or a Cartan generator of the $sl(2)$ subalgebra is discussed. In application to one-dimensional Lagrangian superconformal sigma-models it implies superconformal actions which are either supersymmetric or non-supersymmetric.</dd>

<dt>Año</dt>
<dd>2014</dd>

<dt>Número</dt>
<dd>CBPF-NF-012/14</dd>

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

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

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