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

Abstract

In this note we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to Schatten classes on $L^2({\mathbb{R}}^n)$. We also investigate the spectral trace of these operators.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1803.00903