Revista Integración, temas de matemáticas.
Vol. 36 No. 1 (2018): Revista Integración, temas de matemáticas
Research and Innovation Articles

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

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

Published 2018-07-22

Keywords

  • Harmonic oscillator,
  • Fourier multiplier,
  • Hermite multiplier,
  • nuclear operator,
  • traces

How to Cite

Cardona, D. (2018). A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes. Revista Integración, Temas De matemáticas, 36(1), 49–57. https://doi.org/10.18273/revint.v36n1-2018004

Abstract

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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