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arXiv · 1803.07924

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

Duvan Cardona
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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.

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Duvan Cardona. 2018-03-19. A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes. https://arxiv.org/abs/1803.07924

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