4 papers
Quantum Mechanics of Arc-Sine and Semi-Circle Distributions: A Unified Approach
Luigi Accardi, Tarek Hamdi, Yun Gang Lu
This paper continues the program of applying beyond physics the technique of \textbf{probabilistic quantization} and extending to the quantum mechanics associated with the arc--sin…
Some combinatorial aspects of (q,2)-Fock space
Yungang Lu
We introduce the (q,2)-Fock space over a given Hilbert space, calculate the explicit form of a product of the creation and annihilation operators acting on the vacuum vector, demon…
A new interacting Fock space, the Quon algebra with operator parameter and its Wick's theorem
Yungang Lu
Motivated by the creation-annihilation operators in a newly defined interacting Fock space, we initiate the introduction and the study of the Quon algebra. This algebra serves as a…
From discrete to continuous monotone -algebras via quantum central limit theorems
Vitonofrio Crismale, Francesco Fidaleo, Yun Gang Lu
We prove that all finite joint distributions of creation and annihilation operators in Monotone and anti-Monotone Fock spaces can be realized as Quantum Central Limit of certain op…