Completeness of a fermionic basis in the homogeneous XXZ model

2009/03/14 by H. Boos, M. Jimbo, T. Miwa +1 · 20 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Basis (linear algebra) #Chain (unit) #Combinatorics #Completeness (order theory) #Computer science #Construct (python library) #Geometry #Homogeneous #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Theoretical physics #math-ph #math.MP

paper · pdf · doi:10.1063/1.3147206

published in Journal of Mathematical Physics 50(9) (American Institute of Physics)

arxiv created 2009/03/14 · openalex publication_date 2009/06/11 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

With the aid of the creation operators introduced in our previous works, we show how to construct a basis of the space of quasilocal operators for the homogeneous XXZ chain.

Citations

• Fermionic basis for space of operators in the XXZ model
• Hidden Grassmann structure in the XXZ model III: introducing the Matsubara direction

Cited by

• On the calculation of the correlation functions of the s l 3 -model by means of the reduced qKZ equation