5 papers
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…
Probabilistic Analysis of the (q,2)-Fock Space: Vacuum Distribution and Moments of the Field Operator
Yungang Lu
This paper primarily focuses on the investigation of the distribution of certain crucial operators with respect to significant states on the (q,2)-Fock space, for instance, the vac…
Weighted Catalan convolution and -Fock space
Yungang Lu
Motivated by the study of certain combinatorial properties of -Fock space, we compute explicitly a sequence driven by the Catalan's convolution and parameterized by . A…
The Catalan's triangle system, the Catalan's trapezoids and (q,2)--Fock space
Yungang Lu
We provide an explicit formulation for the solution to the Catalan's triangle system using Catalan's trapezoids and a specified boundary condition. Additionally, we study this syst…
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…