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

Revista Integración

Duván Cardona¹ 

[1] Pontificia Universidad Javeriana, Mathematics Department, Bogotá, Colombia.;

关键词: Harmonic oscillator;    Fourier multiplier;    Hermite multiplier;    nuclear operator;    traces;   

DOI  :  10.18273/revint.v36n1-2018004

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown