2002/04/02 by Murray T. Batchelor, M. T. Batchelor, Jan de Gier +3 · 11 citations
Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Combinatorics #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Rotor (electric) #Sign (mathematics) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Wave function #cond-mat.stat-mech #math-ph #math.CO #math.MP #msc:05A15 #msc:82B23
paper · pdf · doi:10.1142/s0217979202011597
published in International Journal of Modern Physics B 16(14n15), 1883-1889 (World Scientific) · 7 pages, Latex, WSPC macros, dedicated to Fred Wu's 70th birthday
arxiv created 2002/04/02 · openalex publication_date 2002/06/20 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O (n = 1) model we find the number A V (2m + 1;3), which 3-enumerates vertically symmetric alternating sign matrices.