Meixner random variables and their quantum operators-Reference-Cited by-同舟云学术

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Meixner random variables and their quantum operators

Published:2024-06-20 Issue: Volume: Page:
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Obata Nobuaki¹^ORCID,Stan Aurel I.²^ORCID,Yoshida Hiroaki³^ORCID

Affiliation:

1. Center for Data-Driven Science and Artificial Intelligence, Tohoku University, Sendai 980-8576, Japan

2. Department of Mathematics, Ohio State University at Marion, 1465 Mount Vernon Avenue, Marion, OH 43302, USA

3. Department of Information Sciences, Ochanomizu University, 2-1-1, Otsuka, Bunkyo, Tokyo 112-8610, Japan

Abstract

In this paper, 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.

Funder

JSPS Grant-in-Aid for Scientific Research

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025724400034

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