A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes

• Autores: Duván Cardona Sánchez
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 36, Nº. 1, 2018 (Ejemplar dedicado a: Revista Integración, temas de matemáticas), págs. 49-57
• Idioma: inglés
• DOI: 10.18273/revint.v36n1-2018004
• Títulos paralelos:
  • Una descripción breve de operadores asociados al oscilador armónico cuántico sobre las clases de Schatten-von Neumann
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    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.

  • English

    In this note we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to Schatten classes on L2(Rn). We also investigate the spectral trace of these operators.

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