English

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

Functional Analysis 2018-03-22 v1

Abstract

In this note we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to Schatten classes on L2(Rn)L^2(\mathbb{R}^n). We also investigate the spectral trace of these operators.

Keywords

Cite

@article{arxiv.1803.07924,
  title  = {A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes},
  author = {Duvan Cardona},
  journal= {arXiv preprint arXiv:1803.07924},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1803.00903