2-Meixner random variables and semi-quantum operators

37th International Conference on Quantum Probability and Related Topics

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

Department of Physics, College of Arts and Sciences, 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: Quantum operators;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/819/1/012002/pdf
DOI  :  10.1088/1742-6596/819/1/012002

来源: IOP

【 摘 要 】

The equivalence between the notions of "2-Meixner" and "classic Meixner" random variables is proved first. A derivation of the classic Meixner random variables, using double commutators involving the semi-quantum operators, is presented next.