--- title: "On the Classification of N-extended Supersymmetric Quantum Mechanical Systems • 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/6ad2a767639f62b11adbb3a3" 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_~T24gdGhlIENsYXNzaWZpY2F0aW9uIG9mIDxtYXRoPk48L21hdGg-LWV4dGVuZGVkIFN1cGVyc3ltbWV0cmljIFF1YW50dW0gTWVjaGFuaWNhbCBTeXN0ZW1z%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~QS4gUGFzaG5ldjsgRi4gVG9wcGFu%2Cdetalhe_2000%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIzYTMi%2Cs_ButZbNuKp3lA9FSy.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "On the Classification of N-extended Supersymmetric Quantum Mechanical Systems • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~T24gdGhlIENsYXNzaWZpY2F0aW9uIG9mIDxtYXRoPk48L21hdGg-LWV4dGVuZGVkIFN1cGVyc3ltbWV0cmljIFF1YW50dW0gTWVjaGFuaWNhbCBTeXN0ZW1z%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~QS4gUGFzaG5ldjsgRi4gVG9wcGFu%2Cdetalhe_2000%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIzYTMi%2Cs_ButZbNuKp3lA9FSy.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **On the Classification of \N\-extended Supersymmetric Quantum Mechanical Systems** **A. Pashnev; F. Toppan** 2000 [**Descargar PDF **0,2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb3a3/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=On%20the%20Classification%20of%20%3Cmath%3EN%3C%2Fmath%3E-extended%20Supersymmetric%20Quantum%20Mechanical%20Systems) ## **Datos de la publicación**
Autores
A. Pashnev; F. Toppan
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
2000
Descripción
In this paper some properties of the irreducible multiplets of representation for the <math>N = ( p, q )</math> - extended supersymmetry in one dimension are discussed. Essentially two results are here presented. At first a peculiar property of the one dimension is exhibited, namely that any multiplet containing <math>2d</math> (<math>d</math> bosonic and <math>d</math> fermionic) particles in <math>M</math> different spin states, is equivalent to a {'''d,d'''} multiplet of just ''2'' spin states (all bosons and all fermions being grouped in the same spin). Later, it is shown that the classification of all multiplets of this kind carrying an irreducible representation of the <math>N</math> - extended supersymmetry is in one-to-one correspondence with the classification of real-valued Clifford <math>\Gamma</math>-matrices of Weyl type. In particular, <math>p+q</math> is mapped into <math>D</math>, the space-time dimensionality, while <math>2d</math> is determined to be the dimensionality of the corresponding <math>\Gamma</math>-matrices. The implications of these results to the theory of spinning particles are analyzed.
Año
2000
Número
CBPF-NF-029/00
Vínculo con tesis
No
Vínculo con beca
No
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