Moments of two noncommutative random variables in terms of their joint quantum operators

21st International Conference on Integrable Systems and Quantum Symmetries

Popa, Gabriela^1 ; Stan, Aurel I.^2

Department of Physics, 240 Elton Hall, Ohio University, Zanesville, OH 43701, United States^1

Department of Mathematics, Ohio State University at Marion, 1465 Mount Vernon Avenue, Marion, OH 43302, United States^2

关键词: Generating functions;    Joint moment;    Non-commutative;    Poissonian;    Quantum operators;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012027/pdf
DOI  :  10.1088/1742-6596/474/1/012027

来源: IOP

【 摘 要 】

The computation of the generating function of the joint moments of two non- commutative gaussiano-poissonian random variables, from the commutators of their quantum operators, is presented first. An example of such random variables is also included in the paper.