2023/03/01 by A. I. Stan, Aurel I. Stan, G. Popa +3
Computer Science · Decision Sciences · Mathematics · #Compact operator #Computer science #Discrete mathematics #Ladder operator #Mathematical functions and polynomials #Mathematics #Matrix Theory and Algorithms #Operator (biology) #Orthogonal polynomials #Probabilistic and Robust Engineering Design #Pure mathematics #Random variable #Statistics
paper · doi:10.1063/5.0124172
openalex publication_date 2023/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/27
We show first how the joint semi-quantum and quantum operators of a finite family of random variables having finite moments of all orders can be recovered from their joint number operator. We then characterize the polynomially symmetric and polynomially factorizable random variables in terms of their joint number operator. Finally, we present the quantum decomposition of the number and quantum operators of the random variables whose orthogonal polynomials are the Gegenbauer polynomials.