2002/03/13 by H. -J. Schmidt, Heinz-J uuml rgen Schmidt
Mathematics · Physics and Astronomy · #Algorithm #Class (philosophy) #Computer science #Constant (computer programming) #Coupling constant #Energy (signal processing) #Ferromagnetism #Ground state #Heisenberg model #Magnon #Mathematics #Matrix (chemical analysis) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #State (computer science) #cond-mat #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/35/31/302
arxiv created 2002/03/13 · openalex publication_date 2002/07/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently obtained results on linear energy bounds are generalized to arbitrary spin quantum numbers and coupling schemes. Thereby, the class of so-called independent magnon states, for which the relative ground-state property can be rigorously established, is considerably enlarged. We still require that the matrix of exchange parameters has constant row sums, but this can be achieved by means of a suitable gauge and need not be considered as a physical restriction.