Meixner random variables and their quantum operators

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.

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Bibliographic Details
Published in:arXiv.org 2024-04
Main Authors: Obata, Nobuaki, Stan, Aurel I, Yoshida, Hiroaki
Format: Article
Language:English
Subjects:
Decomposition
Momentum
Operators
Random variables
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422