2 papers
math.OA2026
Periodicity, type factors and free Poisson laws in interacting Fock spaces
Vitonofrio Crismale, Yun Gang Lu, Ãric Ricard
We show that the von Neumann algebra generated by position operators in a 2-periodic interacting Fock space is a type factor. On the probabilistic side, we prove that the sq…
math-ph2024
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…