Revista Integración, temas de matemáticas.
Vol. 36 Núm. 1 (2018): Revista Integración, temas de matemáticas
Artículo Original

Una descripción breve de operadores asociados al oscilador armónico cuántico sobre las clases de Schatten-von Neumann

Duván Cardona
Pontificia Universidad Javeriana, Mathematics Department, Bogotá, Colombia.

Publicado 2018-07-22

Palabras clave

  • Oscilador armónico,
  • multiplicador de Fourier,
  • multiplicadores de Hermite,
  • operador nuclear,
  • trazas

Cómo citar

Cardona, D. (2018). Una descripción breve de operadores asociados al oscilador armónico cuántico sobre las clases de Schatten-von Neumann. Revista Integración, Temas De matemáticas, 36(1), 49–57. https://doi.org/10.18273/revint.v36n1-2018004

Resumen

En esta nota se estudia una clase de operadores definidos a través del espectro del oscilador armónico y conocidos en la literatura como pseudo multiplicadores (pseudo multiplicadores de Hermite). Se analizan criterios óptimos para clasificar estos operadores en las clases de Schatten-von Neumann sobre L2(Rn). El trabajo culmina con una investigación sobre la traza espectral y/o nuclear de tales operadores.

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