2014/09/22 by S. S. Chabysheva, Sophia S. Chabysheva, J. R. Hiller +1 · 18 citations
Mathematics · Physics and Astronomy · #Basis (linear algebra) #Black Holes and Theoretical Physics #Boson #Combinatorics #Geometry #Hypercube #Hyperplane #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Orthonormal basis #Particle physics theoretical and experimental studies #Physics #Position and momentum space #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetric function #Unit interval #Wave function #hep-ph #physics.comp-ph
paper · pdf · doi:10.1103/physreve.90.063310
published in Physical Review E 90(6), 063310 (American Physical Society) · 11 pages, 1 figure, RevTeX 4.1
arxiv created 2014/09/22 · openalex publication_date 2014/12/17 · arxiv updated 2014/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We provide an algorithm for the construction of orthonormal multivariate polynomials that are symmetric with respect to the interchange of any two coordinates on the unit hypercube and are constrained to the hyperplane where the sum of the coordinates is one. These polynomials form a basis for the expansion of bosonic light-front momentum-space wave functions, as functions of longitudinal momentum, where momentum conservation guarantees that the fractions are on the interval [0,1] and sum to one. This generalizes earlier work on three-boson wave functions to wave functions for arbitrarily many identical bosons. A simple application in two-dimensional ϕ(4) theory illustrates the use of these polynomials.