English

Meixner random variables and their quantum operators

Probability 2024-04-23 v1

Abstract

We find the position-momentum decomposition of the quantum operators of the classic Meixner random variables. The position-momentum decomposition involves translation operators, which are used to give a new characterization of the Meixner random variables.

Keywords

Cite

@article{arxiv.2404.13718,
  title  = {Meixner random variables and their quantum operators},
  author = {Nobuaki Obata and Aurel I. Stan and Hiroaki Yoshida},
  journal= {arXiv preprint arXiv:2404.13718},
  year   = {2024}
}

Comments

25 pages

R2 v1 2026-06-28T16:01:26.592Z